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Some results on sigma-ideal of sigma-prime ring

Turkmen, Selin; Aydin, Neset


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/78135</identifier>
  <creators>
    <creator>
      <creatorName>Turkmen, Selin</creatorName>
      <givenName>Selin</givenName>
      <familyName>Turkmen</familyName>
      <affiliation>Canakkale Onsekiz Mart Univ, Dept Math, Canakkale, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Aydin, Neset</creatorName>
      <givenName>Neset</givenName>
      <familyName>Aydin</familyName>
      <affiliation>Canakkale Onsekiz Mart Univ, Dept Math, Canakkale, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Some Results On Sigma-Ideal Of Sigma-Prime Ring</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/78135</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.78134</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.78135</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">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 -&amp;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.</description>
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