1 Ocak 2023 Dergi makalesi Açık Erişim

Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/265186</identifier>
  <creators>
    <creator>
      <creatorName>Calci, Mete Burak</creatorName>
      <givenName>Mete Burak</givenName>
      <familyName>Calci</familyName>
      <affiliation>Tubitak Bilgem, Informat &amp; Informat Secur Res Ctr, Tubitak Gebze Yerleskesi, Gebze, Turkiye</affiliation>
    </creator>
    <creator>
      <creatorName>Chen, Huanyin</creatorName>
      <givenName>Huanyin</givenName>
      <familyName>Chen</familyName>
      <affiliation>Hangzhou Normal Univ, Dept Math, 2318 Yuhangtang Rd, Hangzhou 311121, Peoples R China</affiliation>
    </creator>
    <creator>
      <creatorName>Halicioglu, Sait</creatorName>
      <givenName>Sait</givenName>
      <familyName>Halicioglu</familyName>
      <affiliation>Ankara Univ, Fac Sci, Dept Math, Dogol Caddesi, TR-06100 Ankara, Turkiye</affiliation>
    </creator>
  </creators>
  <titles>
    <title>A Generalization Of Reflexive Rings</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2023</publicationYear>
  <dates>
    <date dateType="Issued">2023-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/265186</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.21136/MB.2023.0034-221</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>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;We introduce a class of rings which is a generalization of reflexive rings and J-reversible rings. Let R be a ring with identity and J(R) denote the Jacobson radical of R. A ring R is called J-reflexive if for any a, b is an element of R, aRb = 0 implies bRa subset of J(R). We give some characterizations of a J-reflexive ring. We prove that some results of reflexive rings can be extended to J-reflexive rings for this general setting. We conclude some relations between J-reflexive rings and some related rings. We investigate some extensions of a ring which satisfies the J-reflexive property and we show that the J-reflexive property is Morita invariant.&lt;/p&gt;</description>
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