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SA-SUPPLEMENT SUBMODULES

Durgan, Yilmaz


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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Durgan, Yilmaz</dc:creator>
  <dc:date>2021-01-01</dc:date>
  <dc:description>In this paper, we introduced and studied sa-supplement submodules. A submodule U of a module V is called an sa-supplement submodule in V if there exists a submodule T of V such that V = T +U and U boolean AND T is semiartinian. The class of sa-supplement sequences SAS is a proper class which is generated by socle-free modules injectively. We studied modules that have an sa-supplement in every extension, modules whose all submodules are sa-supplement and modules whose all sasupplement submodules are direct summand. We provided new characterizations of right semiartinian rings and right SSI rings.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/231960</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:231960</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 58(1) 147-161</dc:source>
  <dc:title>SA-SUPPLEMENT SUBMODULES</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
</oai_dc:dc>
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