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ring‎</title> <meta name="description" content="Search results for: commutative ring‎"> <meta name="keywords" content="commutative ring‎"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="commutative ring‎"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 458</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: commutative ring‎</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">458</span> On the Girth of the Regular Digraph of Ideals of a ‎Commutative ‎Ring</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Masoud%20Karimi">Masoud Karimi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ‎Let R be a commutative ring‎. ‎The regular digraph of ideals of R, which is denoted by‎ Γ(R)‎, ‎is a digraph whose vertex-set is the set of all ‎non-‎trivial ideals of R and‎, ‎for every‎ two distinct vertices I and J‎, ‎there is an arc from I to J‎, ‎whenever I contains‎ a non-zero-divisor on J. In this article, ‎we ‎show ‎that an indecomposable ‎Noetherian ring ‎‎‎R ‎is ‎Artinian ‎local ‎if ‎and ‎only ‎if Z(I)=Z(R) ‎for ‎every ‎non-nilpotent ‎ideal ‎‎‎I‎. ‎Then ‎we ‎conclude ‎that ‎‎the ‎girth ‎of‎ Γ(R)‎ ‎is ‎not ‎equal ‎to ‎four. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=commutative%20ring%E2%80%8E" title="commutative ring‎">commutative ring‎</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Egirth%E2%80%8E" title=" ‎girth‎"> ‎girth‎</a>, <a href="https://publications.waset.org/abstracts/search?q=regular%20digraph%E2%80%8E" title=" regular digraph‎"> regular digraph‎</a>, <a href="https://publications.waset.org/abstracts/search?q=zero-divisor" title=" zero-divisor"> zero-divisor</a> </p> <a href="https://publications.waset.org/abstracts/14244/on-the-girth-of-the-regular-digraph-of-ideals-of-a-commutative-ring" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14244.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">280</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">457</span> Application of Soft Sets to Non-Associative Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Inayatur%20Rehman">Inayatur Rehman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Molodtstove developed the theory of soft sets which can be seen as an effective tool to deal with uncertainties. Since the introduction of this concept, the application of soft sets has been restricted to associative algebraic structures (groups, semi groups, associative rings, semi-rings etc.). Acceptably, though the study of soft sets, where the base set of parameters is a commutative structure, has attracted the attention of many researchers for more than one decade. But on the other hand there are many sets which are naturally endowed by two compatible binary operations forming a non-associative ring and we may dig out examples which investigate a non-associative structure in the context of soft sets. Thus it seems natural to apply the concept of soft sets to non-commutative and non-associative structures. In present paper, we make a new approach to apply Molodtsoves notion of soft sets to LA-ring (a class of non-associative ring). We extend the study of soft commutative rings from theoretical aspect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=soft%20sets" title="soft sets">soft sets</a>, <a href="https://publications.waset.org/abstracts/search?q=LA-rings" title=" LA-rings"> LA-rings</a>, <a href="https://publications.waset.org/abstracts/search?q=soft%20LA-rings" title=" soft LA-rings"> soft LA-rings</a>, <a href="https://publications.waset.org/abstracts/search?q=soft%20ideals" title=" soft ideals"> soft ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=soft%20prime%20ideals" title=" soft prime ideals"> soft prime ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=idealistic%0D%0Asoft%20LA-rings" title=" idealistic soft LA-rings"> idealistic soft LA-rings</a>, <a href="https://publications.waset.org/abstracts/search?q=LA-ring%20homomorphism" title=" LA-ring homomorphism "> LA-ring homomorphism </a> </p> <a href="https://publications.waset.org/abstracts/33475/application-of-soft-sets-to-non-associative-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33475.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">464</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">456</span> Prime Graphs of Polynomials and Power Series Over Non-Commutative Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Walaa%20Obaidallah%20Alqarafi">Walaa Obaidallah Alqarafi</a>, <a href="https://publications.waset.org/abstracts/search?q=Wafaa%20Mohammed%20Fakieh"> Wafaa Mohammed Fakieh</a>, <a href="https://publications.waset.org/abstracts/search?q=Alaa%20Abdallah%20Altassan"> Alaa Abdallah Altassan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Algebraic graph theory is defined as a bridge between algebraic structures and graphs. It has several uses in many fields, including chemistry, physics, and computer science. The prime graph is a type of graph associated with a ring R, where the vertex set is the whole ring R, and two vertices x and y are adjacent if either xRy=0 or yRx=0. However, the investigation of the prime graph over rings remains relatively limited. The behavior of this graph in extended rings, like R[x] and R[[x]], where R is a non-commutative ring, deserves more attention because of the wider applicability in algebra and other mathematical fields. To study the prime graphs over polynomials and power series rings, we used a combination of ring-theoretic and graph-theoretic techniques. This paper focuses on two invariants: the diameter and the girth of these graphs. Furthermore, the work discusses how the graph structures change when passing from R to R[x] and R[[x]]. In our study, we found that the set of strong zero-divisors of ring R represents the set of vertices in prime graphs. Based on this discovery, we redefined the vertices of prime graphs using the definition of strong zero divisors. Additionally, our results show that although the prime graphs of R[x] and R[[x]] are comparable to the graph of R, they have different combinatorial characteristics since these extensions contain new strong zero-divisors. In particular, we find conditions in which the diameter and girth of the graphs, as they expand from R to R[x] and R[[x]], do not change or do change. In conclusion, this study shows how extending a non-commutative ring R to R[x] and R[[x]] affects the structure of their prime graphs, particularly in terms of diameter and girth. These findings enhance the understanding of the relationship between ring extensions and graph properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=prime%20graph" title="prime graph">prime graph</a>, <a href="https://publications.waset.org/abstracts/search?q=diameter" title=" diameter"> diameter</a>, <a href="https://publications.waset.org/abstracts/search?q=girth" title=" girth"> girth</a>, <a href="https://publications.waset.org/abstracts/search?q=polynomial%20ring" title=" polynomial ring"> polynomial ring</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20series%20ring" title=" power series ring"> power series ring</a> </p> <a href="https://publications.waset.org/abstracts/192430/prime-graphs-of-polynomials-and-power-series-over-non-commutative-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192430.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">18</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">455</span> Rings Characterized by Classes of Rad-plus-Supplemented Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manoj%20Kumar%20Patel">Manoj Kumar Patel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we introduce and give various properties of weak* Rad-plus-supplemented and cofinitely weak* Rad-plus-supplemented modules over some special kinds of rings, in particular, artinian serial ring and semiperfect ring. Also prove that ring R is artinian serial if and only if every right and left R-module is weak* Rad-plus-supplemented. We provide the counter example which proves that weak* Rad-plus-supplemented module is the generalization of plus-supplemented and Rad-plus-supplemented modules. Furthermore, as an application of above finding results of this research article, our main focus is to characterized the semisimple ring, artinian principal ideal ring, semilocal ring, semiperfect ring, perfect ring, commutative noetherian ring and Dedekind domain in terms of weak* Rad-plus-supplemented module. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cofinitely%20weak%2A%20Rad-plus-supplemented%20module" title="cofinitely weak* Rad-plus-supplemented module ">cofinitely weak* Rad-plus-supplemented module </a>, <a href="https://publications.waset.org/abstracts/search?q=Dedekind%20domain" title=" Dedekind domain"> Dedekind domain</a>, <a href="https://publications.waset.org/abstracts/search?q=Rad-plus-supplemented%20module" title=" Rad-plus-supplemented module"> Rad-plus-supplemented module</a>, <a href="https://publications.waset.org/abstracts/search?q=semiperfect%20ring" title=" semiperfect ring"> semiperfect ring</a> </p> <a href="https://publications.waset.org/abstracts/79173/rings-characterized-by-classes-of-rad-plus-supplemented-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79173.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">261</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">454</span> On Modules over Dedekind Prime Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elvira%20Kusniyanti">Elvira Kusniyanti</a>, <a href="https://publications.waset.org/abstracts/search?q=Hanni%20Garminia"> Hanni Garminia</a>, <a href="https://publications.waset.org/abstracts/search?q=Pudji%20Astuti"> Pudji Astuti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research studies an interconnection between finitely generated uniform modules and Dedekind prime rings. The characterization of modules over Dedekind prime rings that will be investigated is an adoption of Noetherian and hereditary concept. Dedekind prime rings are Noetherian and hereditary rings. This property of Dedekind prime rings is a background of the idea of adopting arises. In Noetherian area, it was known that a ring R is Noetherian ring if and only if every finitely generated R-module is a Noetherian module. Similar to that result, a characterization of the hereditary ring is related to its projective modules. That is, a ring R is hereditary ring if and only if every projective R-module is a hereditary module. Due to the above two results, we suppose that characterization of a Dedekind prime ring can be analyzed from finitely generated modules over it. We propose a conjecture: a ring R is a Dedekind prime ring if and only if every finitely generated uniform R-module is a Dedekind module. In this article, we will generalize a concept of the Dedekind module for non-commutative ring case and present a part of the above conjecture. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dedekind%20domains" title="dedekind domains">dedekind domains</a>, <a href="https://publications.waset.org/abstracts/search?q=dedekind%20prime%20rings" title=" dedekind prime rings"> dedekind prime rings</a>, <a href="https://publications.waset.org/abstracts/search?q=dedekind%20modules" title=" dedekind modules"> dedekind modules</a>, <a href="https://publications.waset.org/abstracts/search?q=uniform%20modules" title=" uniform modules"> uniform modules</a> </p> <a href="https://publications.waset.org/abstracts/32475/on-modules-over-dedekind-prime-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32475.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">441</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">453</span> Introducing Quantum-Weijsberg Algebras by Redefining Quantum-MV Algebras: Characterization, Properties, and Other Important Results</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lavinia%20Ciungu">Lavinia Ciungu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the last decades, developing algebras related to the logical foundations of quantum mechanics became a central topic of research. Generally known as quantum structures, these algebras serve as models for the formalism of quantum mechanics. In this work, we introduce the notion of quantum-Wajsberg algebras by redefining the quantum-MV algebras starting from involutive BE algebras. We give a characterization of quantum-Wajsberg algebras, investigate their properties, and show that, in general, quantum-Wajsberg algebras are not (commutative) quantum-B algebras. We also define the ∨-commutative quantum-Wajsberg algebras and study their properties. Furthermore, we prove that any Wajsberg algebra (bounded ∨-commutative BCK algebra) is a quantum-Wajsberg algebra, and we give a condition for a quantum-Wajsberg algebra to be a Wajsberg algebra. We prove that Wajsberg algebras are both quantum-Wajsberg algebras and commutative quantum-B algebras. We establish the connection between quantum-Wajsberg algebras and quantum-MV algebras, proving that the quantum-Wajsberg algebras are term equivalent to quantum-MV algebras. We show that, in general, the quantum-Wajsberg algebras are not commutative quantum-B algebras and if a quantum-Wajsberg algebra is self-distributive, then the corresponding quantum-MV algebra is an MV algebra. Our study could be a starting point for the development of other implicative counterparts of certain existing algebraic quantum structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum-Wajsberg%20algebra" title="quantum-Wajsberg algebra">quantum-Wajsberg algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum-MV%20algebra" title=" quantum-MV algebra"> quantum-MV algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=MV%20algebra" title=" MV algebra"> MV algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=Wajsberg%20algebra" title=" Wajsberg algebra"> Wajsberg algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=BE%20algebra" title=" BE algebra"> BE algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum-B%20algebra" title=" quantum-B algebra"> quantum-B algebra</a> </p> <a href="https://publications.waset.org/abstracts/192449/introducing-quantum-weijsberg-algebras-by-redefining-quantum-mv-algebras-characterization-properties-and-other-important-results" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192449.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">15</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">452</span> Extension and Closure of a Field for Engineering Purpose</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shouji%20Yujiro">Shouji Yujiro</a>, <a href="https://publications.waset.org/abstracts/search?q=Memei%20Dukovic"> Memei Dukovic</a>, <a href="https://publications.waset.org/abstracts/search?q=Mist%20Yakubu"> Mist Yakubu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fields are important objects of study in algebra since they provide a useful generalization of many number systems, such as the rational numbers, real numbers, and complex numbers. In particular, the usual rules of associativity, commutativity and distributivity hold. Fields also appear in many other areas of mathematics; see the examples below. When abstract algebra was first being developed, the definition of a field usually did not include commutativity of multiplication, and what we today call a field would have been called either a commutative field or a rational domain. In contemporary usage, a field is always commutative. A structure which satisfies all the properties of a field except possibly for commutativity, is today called a division ring ordivision algebra or sometimes a skew field. Also non-commutative field is still widely used. In French, fields are called corps (literally, body), generally regardless of their commutativity. When necessary, a (commutative) field is called corps commutative and a skew field-corps gauche. The German word for body is Körper and this word is used to denote fields; hence the use of the blackboard bold to denote a field. The concept of fields was first (implicitly) used to prove that there is no general formula expressing in terms of radicals the roots of a polynomial with rational coefficients of degree 5 or higher. An extension of a field k is just a field K containing k as a subfield. One distinguishes between extensions having various qualities. For example, an extension K of a field k is called algebraic, if every element of K is a root of some polynomial with coefficients in k. Otherwise, the extension is called transcendental. The aim of Galois Theory is the study of algebraic extensions of a field. Given a field k, various kinds of closures of k may be introduced. For example, the algebraic closure, the separable closure, the cyclic closure et cetera. The idea is always the same: If P is a property of fields, then a P-closure of k is a field K containing k, having property, and which is minimal in the sense that no proper subfield of K that contains k has property P. For example if we take P (K) to be the property ‘every non-constant polynomial f in K[t] has a root in K’, then a P-closure of k is just an algebraic closure of k. In general, if P-closures exist for some property P and field k, they are all isomorphic. However, there is in general no preferable isomorphism between two closures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=field%20theory" title="field theory">field theory</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanic%20maths" title=" mechanic maths"> mechanic maths</a>, <a href="https://publications.waset.org/abstracts/search?q=supertech" title=" supertech"> supertech</a>, <a href="https://publications.waset.org/abstracts/search?q=rolltech" title=" rolltech"> rolltech</a> </p> <a href="https://publications.waset.org/abstracts/6116/extension-and-closure-of-a-field-for-engineering-purpose" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6116.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">451</span> Structure Function and Violation of Scale Invariance in NCSM: Theory and Numerical Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20R.%20Bekli">M. R. Bekli</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Mebarki"> N. Mebarki</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Chadou"> I. Chadou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we focus on the structure functions and violation of scale invariance in the context of non-commutative standard model (NCSM). We find that this violation appears in the first order of perturbation theory and a non-commutative version of the DGLAP evolution equation is deduced. Numerical analysis and comparison with experimental data imposes a new bound on the non-commutative parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=NCSM" title="NCSM">NCSM</a>, <a href="https://publications.waset.org/abstracts/search?q=structure%20function" title=" structure function"> structure function</a>, <a href="https://publications.waset.org/abstracts/search?q=DGLAP%20equation" title=" DGLAP equation"> DGLAP equation</a>, <a href="https://publications.waset.org/abstracts/search?q=standard%20model" title=" standard model"> standard model</a> </p> <a href="https://publications.waset.org/abstracts/16515/structure-function-and-violation-of-scale-invariance-in-ncsm-theory-and-numerical-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16515.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">611</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">450</span> Maximum Distance Separable b-Symbol Repeated-Root γ-Constacylic Codes over a Finite Chain Ring of Length 2</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jamal%20Laaouine">Jamal Laaouine</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Elhassani%20Charkani"> Mohammed Elhassani Charkani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let p be a prime and let b be an integer. MDS b-symbol codes are a direct generalization of MDS codes. The γ-constacyclic codes of length pˢ over the finite commutative chain ring Fₚm [u]/ < u² > had been classified into four distinct types, where is a nonzero element of the field Fₚm. Let C₃ be a code of Type 3. In this paper, we obtain the b-symbol distance db(C₃) of the code C₃. Using this result, necessary and sufficient conditions under which C₃ is an MDS b-symbol code are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=constacyclic%20code" title="constacyclic code">constacyclic code</a>, <a href="https://publications.waset.org/abstracts/search?q=repeated-root%20code" title=" repeated-root code"> repeated-root code</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20distance%20separable" title=" maximum distance separable"> maximum distance separable</a>, <a href="https://publications.waset.org/abstracts/search?q=MDS%20codes" title=" MDS codes"> MDS codes</a>, <a href="https://publications.waset.org/abstracts/search?q=b-symbol%20distance" title=" b-symbol distance"> b-symbol distance</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20chain%20rings" title=" finite chain rings"> finite chain rings</a> </p> <a href="https://publications.waset.org/abstracts/131201/maximum-distance-separable-b-symbol-repeated-root-gh-constacylic-codes-over-a-finite-chain-ring-of-length-2" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/131201.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">137</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">449</span> Non Commutative Lᵖ Spaces as Hilbert Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salvatore%20Triolo">Salvatore Triolo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We discuss the possibility of extending the well-known Gelfand-Naimark-Segal representation to modules over a C*algebra. We focus our attention on the case of Hilbert modules. We consider, in particular, the problem of the existence of a faithful representation. Non-commutative Lᵖ-spaces are shown to constitute examples of a class of CQ*-algebras. Finally, we have shown that any semisimple proper CQ*-algebra (X, A#), with A# a W*-algebra can be represented as a CQ*-algebra of measurable operators in Segal’s sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gelfand-Naimark-Segal%20representation" title="Gelfand-Naimark-Segal representation">Gelfand-Naimark-Segal representation</a>, <a href="https://publications.waset.org/abstracts/search?q=CQ%2A-algebras" title=" CQ*-algebras"> CQ*-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=faithful%20representation" title=" faithful representation"> faithful representation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-commutative%20L%E1%B5%96-spaces" title=" non-commutative Lᵖ-spaces"> non-commutative Lᵖ-spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces" title=" operator in Hilbert spaces"> operator in Hilbert spaces</a> </p> <a href="https://publications.waset.org/abstracts/142662/non-commutative-l-spaces-as-hilbert-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142662.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">248</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">448</span> Noncommutative Diﬀerential Structure on Finite Groups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ibtisam%20Masmali">Ibtisam Masmali</a>, <a href="https://publications.waset.org/abstracts/search?q=Edwin%20Beggs"> Edwin Beggs</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we take example of diﬀerential calculi, on the ﬁnite group A4. Then, we apply methods of non-commutative of non-commutative diﬀerential geometry to this example, and see how similar the results are to those of classical diﬀerential geometry. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=di%EF%AC%80erential%20calculi" title="diﬀerential calculi">diﬀerential calculi</a>, <a href="https://publications.waset.org/abstracts/search?q=%EF%AC%81nite%20group%20A4" title=" ﬁnite group A4"> ﬁnite group A4</a>, <a href="https://publications.waset.org/abstracts/search?q=Christo%EF%AC%80el%20symbols" title=" Christoﬀel symbols"> Christoﬀel symbols</a>, <a href="https://publications.waset.org/abstracts/search?q=covariant%20derivative" title=" covariant derivative"> covariant derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=torsion%20compatible" title=" torsion compatible"> torsion compatible</a> </p> <a href="https://publications.waset.org/abstracts/3359/noncommutative-differential-structure-on-finite-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3359.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">252</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">447</span> Second Representation of Modules over Commutative Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jawad%20Abuhlail">Jawad Abuhlail</a>, <a href="https://publications.waset.org/abstracts/search?q=Hamza%20Hroub"> Hamza Hroub</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let R be a commutative ring. Representation theory studies the representation of R-modules as (possibly finite) sums of special types of R-submodules. Here we are interested in a class of R-modules between the class of semisimple R-modules and the class of R-modules that can be written as (possibly finite) sums of secondary R-submodules (we know that every simple R-submodule is secondary). We investigate R-modules which can be written as (possibly finite) sums of second R-submodules (we call those modules second representable). Moreover, we investigate the class of (main) second attached prime ideals related to a module with such representation. We provide sufficient conditions for an R-module M to get a (minimal) second representation. We also found the collection of second attached prime ideals for some types of second representable R-modules, in particular within the class of injective R-modules. As we know that every simple R-submodule is second and every second R-submodule is secondary, we can see the importance of the second representable R-module. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lifting%20modules" title="lifting modules">lifting modules</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20attached%20prime%20ideals" title=" second attached prime ideals"> second attached prime ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20representations" title=" second representations"> second representations</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20representations" title=" secondary representations"> secondary representations</a>, <a href="https://publications.waset.org/abstracts/search?q=semisimple%20modules" title=" semisimple modules"> semisimple modules</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20submodules" title=" second submodules"> second submodules</a> </p> <a href="https://publications.waset.org/abstracts/99517/second-representation-of-modules-over-commutative-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99517.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">192</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">446</span> Decomposition of Third-Order Discrete-Time Linear Time-Varying Systems into Its Second- and First-Order Pairs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Hassan%20Abdullahi">Mohamed Hassan Abdullahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Decomposition is used as a synthesis tool in several physical systems. It can also be used for tearing and restructuring, which is large-scale system analysis. On the other hand, the commutativity of series-connected systems has fascinated the interest of researchers, and its advantages have been emphasized in the literature. The presentation looks into the necessary conditions for decomposing any third-order discrete-time linear time-varying system into a commutative pair of first- and second-order systems. Additional requirements are derived in the case of nonzero initial conditions. MATLAB simulations are used to verify the findings. The work is unique and is being published for the first time. It is critical from the standpoints of synthesis and/or design. Because many design techniques in engineering systems rely on tearing and reconstruction, this is the process of putting together simple components to create a finished product. Furthermore, it is demonstrated that regarding sensitivity to initial conditions, some combinations may be better than others. The results of this work can be extended for the decomposition of fourth-order discrete-time linear time-varying systems into lower-order commutative pairs, as two second-order commutative subsystems or one first-order and one third-order commutative subsystems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=commutativity" title="commutativity">commutativity</a>, <a href="https://publications.waset.org/abstracts/search?q=decomposition" title=" decomposition"> decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20time-varying%20systems" title=" discrete time-varying systems"> discrete time-varying systems</a>, <a href="https://publications.waset.org/abstracts/search?q=systems" title=" systems"> systems</a> </p> <a href="https://publications.waset.org/abstracts/151285/decomposition-of-third-order-discrete-time-linear-time-varying-systems-into-its-second-and-first-order-pairs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/151285.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">110</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">445</span> Simulation Analysis of Optical Add Drop Multiplexer in a Ring Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Surinder%20Singh">Surinder Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Meenakshi"> Meenakshi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper MZI-FBG based optical add drop multiplexer is designed and its performance is analyzed in the ring network. In the ring network nodes are composed of optical add drop multiplexer, transmitter and receiver. OADM is used to add or drop any frequency at intermediate nodes without affecting other channels. In this paper the performance of the ring network is carried out by varying various kinds of fiber with or without amplifiers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=OADM" title="OADM">OADM</a>, <a href="https://publications.waset.org/abstracts/search?q=ring%20network" title=" ring network"> ring network</a>, <a href="https://publications.waset.org/abstracts/search?q=MZI-FBG" title=" MZI-FBG"> MZI-FBG</a>, <a href="https://publications.waset.org/abstracts/search?q=transmitter" title=" transmitter "> transmitter </a> </p> <a href="https://publications.waset.org/abstracts/15948/simulation-analysis-of-optical-add-drop-multiplexer-in-a-ring-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15948.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">574</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">444</span> A Study on Ideals and Prime Ideals of Sub-Distributive Semirings and Its Applications to Symmetric Fuzzy Numbers </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rosy%20Joseph">Rosy Joseph</a> </p> <p class="card-text"><strong>Abstract:</strong></p> From an algebraic point of view, Semirings provide the most natural generalization of group theory and ring theory. In the absence of additive inverse in a semiring, one had to impose a weaker condition on the semiring, i.e., the additive cancellative law to study interesting structural properties. In many practical situations, fuzzy numbers are used to model imprecise observations derived from uncertain measurements or linguistic assessments. In this connection, a special class of fuzzy numbers whose shape is symmetric with respect to a vertical line called the symmetric fuzzy numbers i.e., for α ∈ (0, 1] the α − cuts will have a constant mid-point and the upper end of the interval will be a non-increasing function of α, the lower end will be the image of this function, is suitable. Based on this description, arithmetic operations and a ranking technique to order the symmetric fuzzy numbers were dealt with in detail. Wherein it was observed that the structure of the class of symmetric fuzzy numbers forms a commutative semigroup with cancellative property. Also, it forms a multiplicative monoid satisfying sub-distributive property.In this paper, we introduce the algebraic structure, sub-distributive semiring and discuss its various properties viz., ideals and prime ideals of sub-distributive semiring, sub-distributive ring of difference etc. in detail. Symmetric fuzzy numbers are visualized as an illustration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=semirings" title="semirings">semirings</a>, <a href="https://publications.waset.org/abstracts/search?q=subdistributive%20ring%20of%20difference" title=" subdistributive ring of difference"> subdistributive ring of difference</a>, <a href="https://publications.waset.org/abstracts/search?q=subdistributive%20semiring" title=" subdistributive semiring"> subdistributive semiring</a>, <a href="https://publications.waset.org/abstracts/search?q=symmetric%20fuzzy%20numbers" title=" symmetric fuzzy numbers"> symmetric fuzzy numbers</a> </p> <a href="https://publications.waset.org/abstracts/84413/a-study-on-ideals-and-prime-ideals-of-sub-distributive-semirings-and-its-applications-to-symmetric-fuzzy-numbers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/84413.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">212</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">443</span> Structural Analysis of Hydro-Turbine Spiral Casing and Stay Ring Using Ansys</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Surjit%20Angra">Surjit Angra</a>, <a href="https://publications.waset.org/abstracts/search?q=Pooja%20Rani"> Pooja Rani</a>, <a href="https://publications.waset.org/abstracts/search?q=Vinod%20Kumar"> Vinod Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In hydro power plant spiral casing and Stay ring is meant to guide the water flow to guide vane and runner. Spiral casing and Stay ring is subjected to static i.e. pressure load as well as fluctuating load acting on the structure due to water hammer effect in water conductor system. Finite element method has been used to calculate stresses on spiral casing and stay ring. These calculations were done for the maximum possible loading under operating condition "LC1 Quick Shut Down”. The design load is reached for the spiral casing and stay ring during the emergency closure of the guide apparatus "LC1 Quick Shut Down”. During this operation the forces from the head cover to the stay ring also reach their maximum. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hydro-turbine" title="hydro-turbine">hydro-turbine</a>, <a href="https://publications.waset.org/abstracts/search?q=spiral%20casing" title=" spiral casing"> spiral casing</a>, <a href="https://publications.waset.org/abstracts/search?q=stay%20ring" title=" stay ring"> stay ring</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20analysis" title=" structural analysis"> structural analysis</a> </p> <a href="https://publications.waset.org/abstracts/5592/structural-analysis-of-hydro-turbine-spiral-casing-and-stay-ring-using-ansys" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5592.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">516</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">442</span> Improved of Elliptic Curves Cryptography over a Ring</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdelhakim%20Chillali">Abdelhakim Chillali</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelhamid%20Tadmori"> Abdelhamid Tadmori</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammed%20Ziane"> Muhammed Ziane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article we will study the elliptic curve defined over the ring An and we define the mathematical operations of ECC, which provides a high security and advantage for wireless applications compared to other asymmetric key cryptosystem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elliptic%20curves" title="elliptic curves">elliptic curves</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20ring" title=" finite ring"> finite ring</a>, <a href="https://publications.waset.org/abstracts/search?q=cryptography" title=" cryptography"> cryptography</a>, <a href="https://publications.waset.org/abstracts/search?q=study" title=" study"> study</a> </p> <a href="https://publications.waset.org/abstracts/24042/improved-of-elliptic-curves-cryptography-over-a-ring" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24042.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">372</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">441</span> Heterocyclic Ring Extension of Estrone: Synthesis and Cytotoxicity of Fused Pyrin, Pyrimidine and Thiazole Derivatives</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rafat%20M.%20Mohareb">Rafat M. Mohareb</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Several D-ring alkylated estrone analogues display exceptionally high affinity for estrogen receptors. In particular, compounds in which an E-ring is formed are known to be involved in the inhibition of steroidogenic enzymes. Such compounds also have an effect on steroid dehydrogenase activity and the ability to inhibit the detrimental action of the steroid sulfatase enzyme. Generally, E-ring extended steroids have been accessed by modification of the C17-ketone in the D-ring by either arylimine or oximino formation, addition of a carbon nucleophile or hydrazone formation. Other approaches have included ketone reduction, silyl enol ether formation or ring-closing metathesis (giving five- or six-membered E-rings). Chemical modification of the steroid D-ring provides a way to alter the functional groups, sizes and stereochemistry of the D-ring, and numerous structure-activity relationships have been established by such synthetic alterations. Steroids bearing heterocycles fused to the D-ring of the steroid nucleus have been of pharmaceutical interest. In the present paper, we report on the efficient synthesis of estrone possessing pyran, pyrimidine and thiazole ring systems. This study focused on the synthesis and biochemical evaluation of newly synthesized heterocyclic compounds which were then subjected through inhibitory evaluations towards human cancer and normal cell lines. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=estrone" title="estrone">estrone</a>, <a href="https://publications.waset.org/abstracts/search?q=heterocyclization" title=" heterocyclization"> heterocyclization</a>, <a href="https://publications.waset.org/abstracts/search?q=cytotoxicity" title=" cytotoxicity"> cytotoxicity</a>, <a href="https://publications.waset.org/abstracts/search?q=biomedicine" title=" biomedicine"> biomedicine</a> </p> <a href="https://publications.waset.org/abstracts/1735/heterocyclic-ring-extension-of-estrone-synthesis-and-cytotoxicity-of-fused-pyrin-pyrimidine-and-thiazole-derivatives" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1735.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">296</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">440</span> About the Number of Fundamental Physical Interactions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Andrey%20Angorsky">Andrey Angorsky</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the article an issue about the possible number of fundamental physical interactions is studied. The theory of similarity on the dimensionless quantity as the damping ratio serves as the instrument of analysis. The structure with the features of Higgs field comes out from non-commutative expression for this ratio. The experimentally checked up supposition about the nature of dark energy is spoken out. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=damping%20ratio" title="damping ratio">damping ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=dark%20energy" title=" dark energy"> dark energy</a>, <a href="https://publications.waset.org/abstracts/search?q=dimensionless%20quantity" title=" dimensionless quantity"> dimensionless quantity</a>, <a href="https://publications.waset.org/abstracts/search?q=fundamental%20physical%20interactions" title=" fundamental physical interactions"> fundamental physical interactions</a>, <a href="https://publications.waset.org/abstracts/search?q=Higgs%20field" title=" Higgs field"> Higgs field</a>, <a href="https://publications.waset.org/abstracts/search?q=non-commutative%20expression" title=" non-commutative expression"> non-commutative expression</a> </p> <a href="https://publications.waset.org/abstracts/129144/about-the-number-of-fundamental-physical-interactions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/129144.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">140</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">439</span> Highly Conductive Polycrystalline Metallic Ring in a Magnetic Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Isao%20Tomita">Isao Tomita</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Electrical conduction in a quasi-one-dimensional polycrystalline metallic ring with a long electron phase coherence length realized at low temperature is investigated. In this situation, the wave nature of electrons is important in the ring, where the electrical current I can be induced by a vector potential that arises from a static magnetic field applied perpendicularly to the ring’s area. It is shown that if the average grain size of the polycrystalline ring becomes large (or comparable to the Fermi wavelength), the electrical current I increases to ~I0, where I0 is a current in a disorder-free ring. The cause of this increasing effect is examined, and this takes place if the electron localization length in the polycrystalline potential increases with increasing grain size, which gives rise to coherent connection of tails of a localized electron wave function in the ring and thus provides highly coherent electrical conduction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electrical%20conduction" title="electrical conduction">electrical conduction</a>, <a href="https://publications.waset.org/abstracts/search?q=electron%20phase%20coherence" title=" electron phase coherence"> electron phase coherence</a>, <a href="https://publications.waset.org/abstracts/search?q=polycrystalline%20metal" title=" polycrystalline metal"> polycrystalline metal</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic%20field" title=" magnetic field"> magnetic field</a> </p> <a href="https://publications.waset.org/abstracts/42741/highly-conductive-polycrystalline-metallic-ring-in-a-magnetic-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42741.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">388</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">438</span> Development of Forging Technology of Cam Ring Gear for Truck Using Small Bar</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=D.%20H.%20Park">D. H. Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20H.%20Tak"> Y. H. Tak</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20H.%20Kwon"> H. H. Kwon</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20J.%20Kwon"> G. J. Kwon</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20G.%20Kim"> H. G. Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study focused on developing forging technology of a large-diameter cam ring gear from the small bar. The analyses of temperature variation and deformation behavior of the material are important to obtain the optimal forging products. The hot compression test was carried out to know formability at high temperature. In order to define the optimum forging conditions including material temperature, strain and forging load, the finite element method was used to simulate the forging process of cam ring gear parts. Test results were in good agreement with the simulations. An existing cam ring gear is presented the chips generated by cutting the rod material and the durability issues, but this would be to develop a large-diameter cam ring gear forging parts for truck in order to solve the durability problem and the material waste. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=forging%20technology" title="forging technology">forging technology</a>, <a href="https://publications.waset.org/abstracts/search?q=cam%20ring" title=" cam ring"> cam ring</a>, <a href="https://publications.waset.org/abstracts/search?q=gear" title=" gear"> gear</a>, <a href="https://publications.waset.org/abstracts/search?q=truck" title=" truck"> truck</a>, <a href="https://publications.waset.org/abstracts/search?q=small%20bar" title=" small bar"> small bar</a> </p> <a href="https://publications.waset.org/abstracts/54422/development-of-forging-technology-of-cam-ring-gear-for-truck-using-small-bar" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54422.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">297</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">437</span> Frobenius Manifolds Pairing and Invariant Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zainab%20Al-Maamari">Zainab Al-Maamari</a>, <a href="https://publications.waset.org/abstracts/search?q=Yassir%20Dinar"> Yassir Dinar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The orbit space of an irreducible representation of a finite group is a variety with the ring of invariant polynomials as a coordinate ring. The invariant ring is a polynomial ring if and only if the representation is a reflection representation. Boris Dubrovin shows that the orbits spaces of irreducible real reflection representations acquire the structure of polynomial Frobenius manifolds. Dubrovin's method was also used to construct different examples of Frobenius manifolds on certain reflection representations. By successfully applying Dubrovin’s method on non-polynomial invariant rings of linear representations of dicyclic groups, it gives some results that magnify the relation between invariant theory and Frobenius manifolds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=invariant%20ring" title="invariant ring">invariant ring</a>, <a href="https://publications.waset.org/abstracts/search?q=Frobenius%20manifold" title=" Frobenius manifold"> Frobenius manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=inversion" title=" inversion"> inversion</a>, <a href="https://publications.waset.org/abstracts/search?q=representation%20theory" title=" representation theory"> representation theory</a> </p> <a href="https://publications.waset.org/abstracts/143099/frobenius-manifolds-pairing-and-invariant-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/143099.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">98</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">436</span> Analysis of Road Network Vulnerability Due to Merapi Volcano Eruption</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Imam%20Muthohar">Imam Muthohar</a>, <a href="https://publications.waset.org/abstracts/search?q=Budi%20Hartono"> Budi Hartono</a>, <a href="https://publications.waset.org/abstracts/search?q=Sigit%20Priyanto"> Sigit Priyanto</a>, <a href="https://publications.waset.org/abstracts/search?q=Hardiansyah%20Hardiansyah"> Hardiansyah Hardiansyah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The eruption of Merapi Volcano in Yogyakarta, Indonesia in 2010 caused many casualties due to minimum preparedness in facing disaster. Increasing population capacity and evacuating to safe places become very important to minimize casualties. Regional government through the Regional Disaster Management Agency has divided disaster-prone areas into three parts, namely ring 1 at a distance of 10 km, ring 2 at a distance of 15 km and ring 3 at a distance of 20 km from the center of Mount Merapi. The success of the evacuation is fully supported by road network infrastructure as a way to rescue in an emergency. This research attempts to model evacuation process based on the rise of refugees in ring 1, expanded to ring 2 and finally expanded to ring 3. The model was developed using SATURN (Simulation and Assignment of Traffic to Urban Road Networks) program version 11.3. 12W, involving 140 centroid, 449 buffer nodes, and 851 links across Yogyakarta Special Region, which was aimed at making a preliminary identification of road networks considered vulnerable to disaster. An assumption made to identify vulnerability was the improvement of road network performance in the form of flow and travel times on the coverage of ring 1, ring 2, ring 3, Sleman outside the ring, Yogyakarta City, Bantul, Kulon Progo, and Gunung Kidul. The research results indicated that the performance increase in the road networks existing in the area of ring 2, ring 3, and Sleman outside the ring. The road network in ring 1 started to increase when the evacuation was expanded to ring 2 and ring 3. Meanwhile, the performance of road networks in Yogyakarta City, Bantul, Kulon Progo, and Gunung Kidul during the evacuation period simultaneously decreased in when the evacuation areas were expanded. The results of preliminary identification of the vulnerability have determined that the road networks existing in ring 1, ring 2, ring 3 and Sleman outside the ring were considered vulnerable to the evacuation of Mount Merapi eruption. Therefore, it is necessary to pay a great deal of attention in order to face the disasters that potentially occur at anytime. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=model" title="model">model</a>, <a href="https://publications.waset.org/abstracts/search?q=evacuation" title=" evacuation"> evacuation</a>, <a href="https://publications.waset.org/abstracts/search?q=SATURN" title=" SATURN"> SATURN</a>, <a href="https://publications.waset.org/abstracts/search?q=vulnerability" title=" vulnerability"> vulnerability</a> </p> <a href="https://publications.waset.org/abstracts/87176/analysis-of-road-network-vulnerability-due-to-merapi-volcano-eruption" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/87176.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">170</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">435</span> Parameters Affecting Load Capacity of Reinforced Concrete Ring Deep Beams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Atef%20Ahmad%20Bleibel">Atef Ahmad Bleibel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Most codes of practice, like ACI 318-14, require the use of strut-and-tie modeling to analyze and design reinforced concrete deep beams. Though, investigations that conducted on deep beams do not include ring deep beams of influential parameters. This work presents an analytical parametric study using strut-and-tie modeling stated by ACI 318-14 to predict load capacity of 20 reinforced concrete ring deep beam specimens with different parameters. The parameters that were under consideration in the current work are ring diameter (Dc), number of supports (NS), width of ring beam (bw), concrete compressive strength (f'c) and width of bearing plate (Bp). It is found that the load capacity decreases by about 14-36% when ring diameter increases by about 25-75%. It is also found that load capacity increases by about 62-189% when number of supports increases by about 33-100%, while the load capacity increases by about 25-75% when the beam ring width increases by about 25-75%. Finally, it is found that load capacity increases by about 24-76% when compressive strength increases by about 24-76%, while the load capacity increases by about 5-16% when Bp increases by about 25-75%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=load%20parameters" title="load parameters">load parameters</a>, <a href="https://publications.waset.org/abstracts/search?q=reinforced%20concrete" title=" reinforced concrete"> reinforced concrete</a>, <a href="https://publications.waset.org/abstracts/search?q=ring%20deep%20beam" title=" ring deep beam"> ring deep beam</a>, <a href="https://publications.waset.org/abstracts/search?q=strut%20and%20tie" title=" strut and tie"> strut and tie</a> </p> <a href="https://publications.waset.org/abstracts/112253/parameters-affecting-load-capacity-of-reinforced-concrete-ring-deep-beams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/112253.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">104</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">434</span> Derivation of BCK\BCI-Algebras</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tumadhir%20Fahim%20M%20Alsulami">Tumadhir Fahim M Alsulami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The concept of this paper builds on connecting between two important notions, fuzzy ideals of BCK-algebras and derivation of BCI-algebras. The result we got is a new concept called derivation fuzzy ideals of BCI-algebras. Followed by various results and important theorems on different types of ideals. In chapter 1: We presented the basic and fundamental concepts of BCK\ BCI- algebras as follows: BCK/BCI-algebras, BCK sub-algebras, bounded BCK-algebras, positive implicative BCK-algebras, commutative BCK-algebras, implicative BCK- algebras. Moreover, we discussed ideals of BCK-algebras, positive implicative ideals, implicative ideals and commutative ideals. In the last section of chapter 1 we proposed the notion of derivation of BCI-algebras, regular derivation of BCI-algebras and basic definitions and properties. In chapter 2: It includes 3 sections as follows: Section 1 contains elementary concepts of fuzzy sets and fuzzy set operations. Section 2 shows O. G. Xi idea, where he applies fuzzy sets concept to BCK-algebras and we studied fuzzy sub-algebras as well. Section 3 contains fuzzy ideals of BCK-algebras basic definitions, closed fuzzy ideals, fuzzy commutative ideals, fuzzy positive implicative ideals, fuzzy implicative ideals, fuzzy H-ideals and fuzzy p-ideals. Moreover, we investigated their concepts in diverse theorems and propositions. In chapter 3: The main concept of our thesis on derivation fuzzy ideals of BCI- algebras is introduced. Chapter 3 splits into 4 sections. We start with General definitions and important theorems on derivation fuzzy ideal theory in section 1. Section 2 and 3 contain derivations fuzzy p-ideals and derivations fuzzy H-ideals of BCI- algebras, several important theorems and propositions were introduced. The last section studied derivations fuzzy implicative ideals of BCI-algebras and it includes new theorems and results. Furthermore, we presented a new theorem that associate derivations fuzzy implicative ideals, derivations fuzzy positive implicative ideals and derivations fuzzy commutative ideals. These concepts and the new results were obtained and introduced in chapter 3 were submitted in two separated articles and accepted for publication. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=BCK" title="BCK">BCK</a>, <a href="https://publications.waset.org/abstracts/search?q=BCI" title=" BCI"> BCI</a>, <a href="https://publications.waset.org/abstracts/search?q=algebras" title=" algebras"> algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=derivation" title=" derivation"> derivation</a> </p> <a href="https://publications.waset.org/abstracts/148017/derivation-of-bckbci-algebras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/148017.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">124</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">433</span> Integral Domains and Alexandroff Topology</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shai%20Sarussi">Shai Sarussi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let S be an integral domain which is not a field, let F be its field of fractions, and let A be an F-algebra. An S-subalgebra R of A is called S-nice if R ∩ F = S and F R = A. A topological space whose set of open sets is closed under arbitrary intersections is called an Alexandroff space. Inspired by the well-known Zariski-Riemann space and the Zariski topology on the set of prime ideals of a commutative ring, we define a topology on the set of all S-nice subalgebras of A. Consequently, we get an interplay between Algebra and topology, that gives us a better understanding of the S-nice subalgebras of A. It is shown that every irreducible subset of S-nice subalgebras of A has a supremum; and a characterization of the irreducible components is given, in terms of maximal S-nice subalgebras of A. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alexandroff%20topology" title="Alexandroff topology">Alexandroff topology</a>, <a href="https://publications.waset.org/abstracts/search?q=integral%20domains" title=" integral domains"> integral domains</a>, <a href="https://publications.waset.org/abstracts/search?q=Zariski-Riemann%20space" title=" Zariski-Riemann space"> Zariski-Riemann space</a>, <a href="https://publications.waset.org/abstracts/search?q=S-nice%20subalgebras" title=" S-nice subalgebras"> S-nice subalgebras</a> </p> <a href="https://publications.waset.org/abstracts/154343/integral-domains-and-alexandroff-topology" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/154343.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">109</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">432</span> Material Detection by Phase Shift Cavity Ring-Down Spectroscopy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rana%20Muhammad%20Armaghan%20Ayaz">Rana Muhammad Armaghan Ayaz</a>, <a href="https://publications.waset.org/abstracts/search?q=Yigit%20Uysall%C4%B1"> Yigit Uysallı</a>, <a href="https://publications.waset.org/abstracts/search?q=Nima%20Bavili"> Nima Bavili</a>, <a href="https://publications.waset.org/abstracts/search?q=Berna%20Morova"> Berna Morova</a>, <a href="https://publications.waset.org/abstracts/search?q=Alper%20Kiraz"> Alper Kiraz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traditional optical methods for example resonance wavelength shift and cavity ring-down spectroscopy used for material detection and sensing have disadvantages, for example, less resistance to laser noise, temperature fluctuations and extraction of the required information can be a difficult task like ring downtime in case of cavity ring-down spectroscopy. Phase shift cavity ring down spectroscopy is not only easy to use but is also capable of overcoming the said problems. This technique compares the phase difference between the signal coming out of the cavity with the reference signal. Detection of any material is made by the phase difference between them. By using this technique, air, water, and isopropyl alcohol can be recognized easily. This Methodology has far-reaching applications and can be used in air pollution detection, human breath analysis and many more. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=materials" title="materials">materials</a>, <a href="https://publications.waset.org/abstracts/search?q=noise" title=" noise"> noise</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20shift" title=" phase shift"> phase shift</a>, <a href="https://publications.waset.org/abstracts/search?q=resonance%20wavelength" title=" resonance wavelength"> resonance wavelength</a>, <a href="https://publications.waset.org/abstracts/search?q=sensitivity" title=" sensitivity"> sensitivity</a>, <a href="https://publications.waset.org/abstracts/search?q=time%20domain%20approach" title=" time domain approach"> time domain approach</a> </p> <a href="https://publications.waset.org/abstracts/107606/material-detection-by-phase-shift-cavity-ring-down-spectroscopy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/107606.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">149</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">431</span> A Polyimide Based Split-Ring Neural Interface Electrode for Neural Signal Recording</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ning%20Xue">Ning Xue</a>, <a href="https://publications.waset.org/abstracts/search?q=Srinivas%20Merugu"> Srinivas Merugu</a>, <a href="https://publications.waset.org/abstracts/search?q=Ignacio%20Delgado%20Martinez"> Ignacio Delgado Martinez</a>, <a href="https://publications.waset.org/abstracts/search?q=Tao%20Sun"> Tao Sun</a>, <a href="https://publications.waset.org/abstracts/search?q=John%20Tsang"> John Tsang</a>, <a href="https://publications.waset.org/abstracts/search?q=Shih-Cheng%20Yen"> Shih-Cheng Yen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We have developed a polyimide based neural interface electrode to record nerve signals from the sciatic nerve of a rat. The neural interface electrode has a split-ring shape, with four protruding gold electrodes for recording, and two reference gold electrodes around the split-ring. The split-ring electrode can be opened up to encircle the sciatic nerve. The four electrodes can be bent to sit on top of the nerve and hold the device in position, while the split-ring frame remains flat. In comparison, while traditional cuff electrodes can only fit certain sizes of the nerve, the developed device can fit a variety of rat sciatic nerve dimensions from 0.6 mm to 1.0 mm, and adapt to the chronic changes in the nerve as the electrode tips are bendable. The electrochemical impedance spectroscopy measurement was conducted. The gold electrode impedance is on the order of 10 kΩ, showing excellent charge injection capacity to record neural signals. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=impedance" title="impedance">impedance</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20interface" title=" neural interface"> neural interface</a>, <a href="https://publications.waset.org/abstracts/search?q=split-ring%20electrode" title=" split-ring electrode"> split-ring electrode</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20signal%20recording" title=" neural signal recording"> neural signal recording</a> </p> <a href="https://publications.waset.org/abstracts/6287/a-polyimide-based-split-ring-neural-interface-electrode-for-neural-signal-recording" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6287.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">376</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">430</span> Upsetting of Tri-Metallic St-Cu-Al and St-Cu60Zn-Al Cylindrical Billets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Isik%20Cetintav">Isik Cetintav</a>, <a href="https://publications.waset.org/abstracts/search?q=Cenk%20Misirli"> Cenk Misirli</a>, <a href="https://publications.waset.org/abstracts/search?q=Yilmaz%20Can"> Yilmaz Can</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work investigates upsetting of the tri-metallic cylindrical billets both experimentally and analytically with a reduction ratio 30%. Steel, brass, and copper are used for the outer and outmost rings and aluminum for the inner core. Two different models have been designed to show material flow and the cavity took place over the two interfaces during forming after this reduction ratio. Each model has an outmost ring material as steel. Model 1 has an outer ring between the outmost ring and the solid core material as copper and Model 2 has a material as brass. Solid core is aluminum for each model. Billets were upset in press machine by using parallel flat dies. Upsetting load was recorded and compared for models and single billets. To extend the tests and compare with experimental procedure to a wider range of inner core and outer ring geometries, finite element model was performed. ABAQUS software was used for the simulations. The aim is to show how contact between outmost ring, outer ring and the inner core are carried on throughout the upsetting process. Results have shown that, with changing in height, between outmost ring, outer ring and inner core, the Model 1 and Model 2 had very good interaction, and the contact surfaces of models had various interface behaviour. It is also observed that tri-metallic materials have lower weight but better mechanical properties than single materials. This can give an idea for using and producing these new materials for different purposes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tri-metallic" title="tri-metallic">tri-metallic</a>, <a href="https://publications.waset.org/abstracts/search?q=upsetting" title=" upsetting"> upsetting</a>, <a href="https://publications.waset.org/abstracts/search?q=copper" title=" copper"> copper</a>, <a href="https://publications.waset.org/abstracts/search?q=brass" title=" brass"> brass</a>, <a href="https://publications.waset.org/abstracts/search?q=steel" title=" steel"> steel</a>, <a href="https://publications.waset.org/abstracts/search?q=aluminum" title=" aluminum"> aluminum</a> </p> <a href="https://publications.waset.org/abstracts/48901/upsetting-of-tri-metallic-st-cu-al-and-st-cu60zn-al-cylindrical-billets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48901.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">429</span> Assessment of Residual Stress on HDPE Pipe Wall Thickness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=D.%20Sersab">D. Sersab</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Aberkane"> M. Aberkane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Residual stresses, in high-density polyethylene (HDPE) pipes, result from a nonhomogeneous cooling rate that occurs between the inner and outer surfaces during the extrusion process in manufacture. Most known methods of measurements to determine the magnitude and profile of the residual stresses in the pipe wall thickness are layer removal and ring slitting method. The combined layer removal and ring slitting methods described in this paper involves measurement of the circumferential residual stresses with minimal local disturbance. The existing methods used for pipe geometry (ring slitting method) gives a single residual stress value at the bore. The layer removal method which is used more in flat plate specimen is implemented with ring slitting method. The method permits stress measurements to be made directly at different depth in the pipe wall and a well-defined residual stress profile was consequently obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=residual%20stress" title="residual stress">residual stress</a>, <a href="https://publications.waset.org/abstracts/search?q=layer%20removal" title=" layer removal"> layer removal</a>, <a href="https://publications.waset.org/abstracts/search?q=ring%20splitting" title=" ring splitting"> ring splitting</a>, <a href="https://publications.waset.org/abstracts/search?q=HDPE" title=" HDPE"> HDPE</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20thickness" title=" wall thickness "> wall thickness </a> </p> <a href="https://publications.waset.org/abstracts/25357/assessment-of-residual-stress-on-hdpe-pipe-wall-thickness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25357.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">338</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=commutative%20ring%E2%80%8E&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=commutative%20ring%E2%80%8E&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=commutative%20ring%E2%80%8E&page=4">4</a></li> <li class="page-item"><a class="page-link" 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