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js-wsj-grid-card-view-pdf" href="https://www.academia.edu/24472276/On_the_structure_of_closed_ideals"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="67945940" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/67945940/Zariski_Lipman_Theory_of_Complete_Ideals_in_2_DIMENSIONAL_Regular_Local_Rings">Zariski-Lipman Theory of Complete Ideals in 2-DIMENSIONAL Regular Local Rings</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="24384451" href="https://independent.academia.edu/JugalVerma">Jugal Verma</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2003</p><p class="ds-related-work--abstract ds2-5-body-sm">The objective of these notes is to present a few important results about complete ideals in two-dimensional regular local rings. The fundamental theorems about such ideals are due to Zariski found in appendix 5 of [16]. These results were proved by Zariski in [17] for two dimensional polynomial rings over an algebraically closed field of characteristic zero. 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href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2000</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"IDEALS CONTRACTED FROM 1DIMENSIONAL OVERRINGS WITH AN APPLICATION TO THE PRIMARY DECOMPOSITION OF IDEALS","attachmentId":42616874,"attachmentType":"pdf","work_url":"https://www.academia.edu/16245334/IDEALS_CONTRACTED_FROM_1DIMENSIONAL_OVERRINGS_WITH_AN_APPLICATION_TO_THE_PRIMARY_DECOMPOSITION_OF_IDEALS","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/16245334/IDEALS_CONTRACTED_FROM_1DIMENSIONAL_OVERRINGS_WITH_AN_APPLICATION_TO_THE_PRIMARY_DECOMPOSITION_OF_IDEALS"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="12" data-entity-id="16245303" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/16245303/Basically_Full_Ideals_in_Local_Rings">Basically Full Ideals in Local Rings</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Algebra, 2002</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Basically Full Ideals in Local Rings","attachmentId":42616899,"attachmentType":"pdf","work_url":"https://www.academia.edu/16245303/Basically_Full_Ideals_in_Local_Rings","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/16245303/Basically_Full_Ideals_in_Local_Rings"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="13" data-entity-id="96734980" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/96734980/Invariants_associated_with_ideals_in_one_dimensional_local_domains">Invariants associated with ideals in one-dimensional local domains</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43281526" href="https://independent.academia.edu/AnnaOneto">Anna Oneto</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Algebra, 2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Invariants associated with ideals in one-dimensional local 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href="https://www.academia.edu/87052367/Derivations_and_the_integral_closure_of_ideals">Derivations and the integral closure of ideals</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="217614994" href="https://independent.academia.edu/RH%C3%BCbl">Reinhold Hübl</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Proceedings of the American Mathematical Society</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Derivations and the integral closure of ideals","attachmentId":91372190,"attachmentType":"pdf","work_url":"https://www.academia.edu/87052367/Derivations_and_the_integral_closure_of_ideals","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span 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href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of the Australian Mathematical Society, 1966</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On the complete integral closure of an integral domain","attachmentId":42616885,"attachmentType":"pdf","work_url":"https://www.academia.edu/16245314/On_the_complete_integral_closure_of_an_integral_domain","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/16245314/On_the_complete_integral_closure_of_an_integral_domain"><span 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data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On the generalized principal ideal theorem and Krull domains","attachmentId":44830741,"attachmentType":"pdf","work_url":"https://www.academia.edu/24498371/On_the_generalized_principal_ideal_theorem_and_Krull_domains","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/24498371/On_the_generalized_principal_ideal_theorem_and_Krull_domains"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="17" data-entity-id="48072430" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/48072430/Joint_reductions_of_complete_ideals">Joint reductions of complete ideals</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="24384451" href="https://independent.academia.edu/JugalVerma">Jugal Verma</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Nagoya Mathematical Journal</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Joint reductions of complete ideals","attachmentId":66873793,"attachmentType":"pdf","work_url":"https://www.academia.edu/48072430/Joint_reductions_of_complete_ideals","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/48072430/Joint_reductions_of_complete_ideals"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="18" data-entity-id="48072427" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/48072427/Complete_Ideals_in_2_DIMENSIONAL_Regular_Local_Rings">Complete Ideals in 2-DIMENSIONAL Regular Local Rings</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="24384451" 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translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="19" data-entity-id="24498332" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/24498332/Noetherian_Rings_between_a_Semilocal_Domain_and_Its_Completion">Noetherian Rings between a Semilocal Domain and Its Completion</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Algebra, 1997</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Noetherian Rings between a Semilocal Domain 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href="https://www.academia.edu/122229700/Projectively_full_ideals_in_Noetherian_rings_II_">Projectively full ideals in Noetherian rings (II)</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Algebra, 2006</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Projectively full ideals in Noetherian rings (II)","attachmentId":116939396,"attachmentType":"pdf","work_url":"https://www.academia.edu/122229700/Projectively_full_ideals_in_Noetherian_rings_II_","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/122229700/Projectively_full_ideals_in_Noetherian_rings_II_"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="21" data-entity-id="122229703" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/122229703/The_ideal_theory_of_intersections_of_prime_divisors_dominating_a_normal_Noetherian_local_domain_of_dimension_two">The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">arXiv (Cornell University), 2023</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two","attachmentId":116939342,"attachmentType":"pdf","work_url":"https://www.academia.edu/122229703/The_ideal_theory_of_intersections_of_prime_divisors_dominating_a_normal_Noetherian_local_domain_of_dimension_two","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/122229703/The_ideal_theory_of_intersections_of_prime_divisors_dominating_a_normal_Noetherian_local_domain_of_dimension_two"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="22" data-entity-id="64400540" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/64400540/Prime_Ideals_in_Noetherian_Rings_A_Survey">Prime Ideals in Noetherian Rings: A Survey</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="6153857" href="https://independent.academia.edu/RogerWiegand">Roger Wiegand</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2000</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Prime Ideals in Noetherian Rings: A Survey","attachmentId":76455289,"attachmentType":"pdf","work_url":"https://www.academia.edu/64400540/Prime_Ideals_in_Noetherian_Rings_A_Survey","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/64400540/Prime_Ideals_in_Noetherian_Rings_A_Survey"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="23" data-entity-id="24498382" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/24498382/Building_Noetherian_domains_inside_an_ideal_adic_completion">Building Noetherian domains inside an ideal-adic completion</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1998</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Building Noetherian domains inside an ideal-adic 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href="https://www.academia.edu/16245323/Locally_noetherian_commutative_rings">Locally noetherian commutative rings</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35338296" href="https://purdue.academia.edu/WilliamHeinzer">William Heinzer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Transactions of the American Mathematical Society, 1971</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Locally noetherian commutative rings","attachmentId":42616897,"attachmentType":"pdf","work_url":"https://www.academia.edu/16245323/Locally_noetherian_commutative_rings","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free 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