1 Ocak 2017 Dergi makalesi Açık Erişim

Calci, T. P.; Halicioglu, S.; Harmanci, A.

Dublin Core

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  <dc:creator>Calci, T. P.</dc:creator>
  <dc:creator>Halicioglu, S.</dc:creator>
  <dc:creator>Harmanci, A.</dc:creator>
  <dc:date>2017-01-01</dc:date>
  <dc:description>Let R be an arbitrary ring with identity and M a right R-module with S= End(R)(M). Let F be a fully invariant submodule of M and I-1(F) denotes the set {m is an element of M : Im subset of F} for any subset I of S. The module M is called F-Baer if I-1(F) is a direct summand of M for every left ideal I of S. This work is devoted to the investigation of properties of F-Baer modules. We use F-Baer modules to decompose a module into two parts consists of a Baer module and a module determined by fully invariant submodule F, namely, for a module M, we show that M is F-Baer if and only if M = F circle plus N where N is a Baer module. By using F-Baer modules, we obtain some new results for Baer rings.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/47145</dc:identifier>
  <dc:identifier>oai:zenodo.org:47145</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 45(11) 4610-4621</dc:source>
  <dc:title>Modules having Baer summands</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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