1 Ocak 2015 Dergi makalesi Açık Erişim

Buyukasik, Engin; Durgun, Yilmaz

Dublin Core

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  <dc:creator>Buyukasik, Engin</dc:creator>
  <dc:creator>Durgun, Yilmaz</dc:creator>
  <dc:date>2015-01-01</dc:date>
  <dc:description>Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R-module is neat-flat. A commutative ring R is hereditary and noetherian if and only if every absolutely s-pure R-module is injective and R is nonsingular. If every simple right R-module is finitely presented, then (1) R-R is absolutely s-pure if and only if R is right Kasch and (2) R is a right Sigma-CS ring if and only if every pure injective neat-flat right R-module is projective if and only if every absolutely s-pure left R-module is injective and R is right perfect. We also study enveloping and covering properties of absolutely s-pure and neat-flat modules. The rings over which every simple module has an injective cover are characterized.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/80679</dc:identifier>
  <dc:identifier>oai:zenodo.org:80679</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>COMMUNICATIONS IN ALGEBRA 43(2) 384-399</dc:source>
  <dc:title>ABSOLUTELY s-PURE MODULES AND NEAT-FLAT MODULES</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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