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<!DOCTYPE html> <html> <head> <meta charset="utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no" /> <title>HTML Microdata document</title> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/bootstrap/5.2.3/css/bootstrap.min.css" integrity="sha512-SbiR/eusphKoMVVXysTKG/7VseWii+Y3FdHrt0EpKgpToZeemhqHeZeLWLhJutz/2ut2Vw1uQEj2MbRF+TVBUA==" crossorigin="anonymous" /> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/bootstrap-icons/1.10.3/font/bootstrap-icons.min.css" integrity="sha512-YFENbnqHbCRmJt5d+9lHimyEMt8LKSNTMLSaHjvsclnZGICeY/0KYEeiHwD1Ux4Tcao0h60tdcMv+0GljvWyHg==" crossorigin="anonymous" /> </head> <body> <div class="container-fluid"> <nav class="navbar navbar-expand-md sticky-top navbar-light bg-light"><a class="navbar-brand" href="#" onclick="javascript:history.go(-1); return false;">SPARQL | HTML Microdata document</a></nav> <p>This HTML5 document contains 48 embedded RDF statements represented using HTML+Microdata notation.</p><p>The embedded RDF content will be recognized by any processor of HTML5 Microdata.</p><h3>Namespace Prefixes</h3> <table class="table table-sm table-borderless"><tr><th>Prefix</th><th>IRI</th></tr> <tr><td>dcterms</td><td>http://purl.org/dc/terms/</td></tr> <tr><td>yago-res</td><td>http://yago-knowledge.org/resource/</td></tr> <tr><td>dbo</td><td>http://dbpedia.org/ontology/</td></tr> <tr><td>foaf</td><td>http://xmlns.com/foaf/0.1/</td></tr> <tr><td>n15</td><td>https://global.dbpedia.org/id/</td></tr> <tr><td>yago</td><td>http://dbpedia.org/class/yago/</td></tr> <tr><td>dbt</td><td>http://dbpedia.org/resource/Template:</td></tr> <tr><td>rdfs</td><td>http://www.w3.org/2000/01/rdf-schema#</td></tr> <tr><td>freebase</td><td>http://rdf.freebase.com/ns/</td></tr> <tr><td>rdf</td><td>http://www.w3.org/1999/02/22-rdf-syntax-ns#</td></tr> <tr><td>owl</td><td>http://www.w3.org/2002/07/owl#</td></tr> <tr><td>wikipedia-en</td><td>http://en.wikipedia.org/wiki/</td></tr> <tr><td>dbc</td><td>http://dbpedia.org/resource/Category:</td></tr> <tr><td>prov</td><td>http://www.w3.org/ns/prov#</td></tr> <tr><td>dbp</td><td>http://dbpedia.org/property/</td></tr> <tr><td>xsdh</td><td>http://www.w3.org/2001/XMLSchema#</td></tr> <tr><td>wikidata</td><td>http://www.wikidata.org/entity/</td></tr> <tr><td>dbr</td><td>http://dbpedia.org/resource/</td></tr></table><h3>Statements</h3> <dl itemscope itemid="http://dbpedia.org/resource/Invertible_module"> <dt>Subject Item</dt><dd>dbr:Invertible_module</dd> <dt>rdf:type</dt><dd> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/Artifact100021939">yago:Artifact100021939</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/Whole100003553">yago:Whole100003553</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/WikicatMathematicalStructures">yago:WikicatMathematicalStructures</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/Structure104341686">yago:Structure104341686</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/PhysicalEntity100001930">yago:PhysicalEntity100001930</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/YagoPermanentlyLocatedEntity">yago:YagoPermanentlyLocatedEntity</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/YagoGeoEntity">yago:YagoGeoEntity</a> <a itemprop="http://www.w3.org/1999/02/22-rdf-syntax-ns#type" href="http://dbpedia.org/class/yago/Object100002684">yago:Object100002684</a> </dd> <dt>rdfs:label</dt><dd> <span itemprop="http://www.w3.org/2000/01/rdf-schema#label" xml:lang="en">Invertible module</span> </dd> <dt>rdfs:comment</dt><dd> <span itemprop="http://www.w3.org/2000/01/rdf-schema#comment" xml:lang="en">In mathematics, particularly commutative algebra, an invertible module is intuitively a module that has an inverse with respect to the tensor product. Invertible modules form the foundation for the definition of invertible sheaves in algebraic geometry. Formally, a finitely generated module M over a ring R is said to be invertible if it is locally a free module of rank 1. In other words, for all primes P of R. 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Invertible modules form the foundation for the definition of invertible sheaves in algebraic geometry. Formally, a finitely generated module M over a ring R is said to be invertible if it is locally a free module of rank 1. In other words, for all primes P of R. Now, if M is an invertible R-module, then its dual M* = Hom(M,R) is its inverse with respect to the tensor product, i.e. . The theory of invertible modules is closely related to the theory of codimension on varieties including the theory of divisors.</span> </dd> <dt>prov:wasDerivedFrom</dt><dd> <a itemprop="http://www.w3.org/ns/prov#wasDerivedFrom" href="http://en.wikipedia.org/wiki/Invertible_module?oldid=1074446535&ns=0">wikipedia-en:Invertible_module?oldid=1074446535&ns=0</a> </dd> <dt>dbo:wikiPageLength</dt><dd> <span itemprop="http://dbpedia.org/ontology/wikiPageLength">1275</span> </dd> <dt>foaf:isPrimaryTopicOf</dt><dd> <a itemprop="http://xmlns.com/foaf/0.1/isPrimaryTopicOf" href="http://en.wikipedia.org/wiki/Invertible_module">wikipedia-en:Invertible_module</a> </dd></dl> <dl itemscope itemid="http://dbpedia.org/resource/Invertible_(disambiguation)"> <dt>Subject Item</dt><dd>dbr:Invertible_(disambiguation)</dd> <dt>dbo:wikiPageWikiLink</dt><dd> <a itemprop="http://dbpedia.org/ontology/wikiPageWikiLink" href="http://dbpedia.org/resource/Invertible_module">dbr:Invertible_module</a> </dd> <dt>dbo:wikiPageDisambiguates</dt><dd> <a itemprop="http://dbpedia.org/ontology/wikiPageDisambiguates" href="http://dbpedia.org/resource/Invertible_module">dbr:Invertible_module</a> </dd></dl> <dl itemscope itemid="http://dbpedia.org/resource/Glossary_of_module_theory"> <dt>Subject Item</dt><dd>dbr:Glossary_of_module_theory</dd> <dt>dbo:wikiPageWikiLink</dt><dd> <a itemprop="http://dbpedia.org/ontology/wikiPageWikiLink" href="http://dbpedia.org/resource/Invertible_module">dbr:Invertible_module</a> </dd></dl> <dl itemscope itemid="http://dbpedia.org/resource/Localization_(commutative_algebra)"> <dt>Subject Item</dt><dd>dbr:Localization_(commutative_algebra)</dd> <dt>dbo:wikiPageWikiLink</dt><dd> <a itemprop="http://dbpedia.org/ontology/wikiPageWikiLink" href="http://dbpedia.org/resource/Invertible_module">dbr:Invertible_module</a> </dd></dl> <dl itemscope itemid="http://en.wikipedia.org/wiki/Invertible_module"> <dt>Subject Item</dt><dd>wikipedia-en:Invertible_module</dd> <dt>foaf:primaryTopic</dt><dd> <a itemprop="http://xmlns.com/foaf/0.1/primaryTopic" href="http://dbpedia.org/resource/Invertible_module">dbr:Invertible_module</a> </dd></dl></div> </body> </html>