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Some results on sigma-ideal of sigma-prime ring

Turkmen, Selin; Aydin, Neset


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  <dc:creator>Turkmen, Selin</dc:creator>
  <dc:creator>Aydin, Neset</dc:creator>
  <dc:date>2015-01-01</dc:date>
  <dc:description>Let R be a sigma-prime ring with characteristic not 2, Z (R) be the center of R, I be a nonzero sigma-ideal of R, alpha, beta : R -&gt; R be two automorphisms, d be a nonzero (alpha, beta)-derivation of R and h be a nonzero derivation of R : In the present paper, it is shown that (i) If d (I) subset of C-alpha,C-beta and beta commutes with sigma then R is commutative. (ii) Let alpha and beta commute with sigma. If a is an element of I boolean AND S-sigma (R) and [d(I), a](alpha,beta) subset of C-alpha,C-beta then a is an element of Z(R). (iii) Let alpha, beta and h commute with sigma. If dh (I) subset of C-alpha,C- beta and h(I) subset of I then R is commutative.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/78135</dc:identifier>
  <dc:identifier>oai:zenodo.org:78135</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS 44(5) 1147-1156</dc:source>
  <dc:title>Some results on sigma-ideal of sigma-prime ring</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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