1 Ocak 2014 Dergi makalesi Açık Erişim

Keskin Tutuncu, Derya; Orhan Ertas, Nil; Smith, Patrick F.; Tribak, Rachid

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  <dc:creator>Keskin Tutuncu, Derya</dc:creator>
  <dc:creator>Orhan Ertas, Nil</dc:creator>
  <dc:creator>Smith, Patrick F.</dc:creator>
  <dc:creator>Tribak, Rachid</dc:creator>
  <dc:date>2014-01-01</dc:date>
  <dc:description>The snbmodule (Z)overbar(M) = boolean AND{N vertical bar M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if (Z)overbar(M) is a direct summand of M for every R-module M. It is shown that a commutative perfect ring R has (P) if and only if R is semisimple. An example is given to show that this characterization is not true for noncommutative rings. We prove that if R is a commutative ring such that the class {M is an element of Mod-R vertical bar &lt;(Z)overbar &gt;(R)(M) = 0} is closed under factor modules, then R has (P) if and only if the ring R is von Neumann regular.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/65339</dc:identifier>
  <dc:identifier>oai:zenodo.org:65339</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>TURKISH JOURNAL OF MATHEMATICS 38(4) 649-657</dc:source>
  <dc:title>Some rings for which the cosingular submodule of every module is a direct summand</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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