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?-endo Baer modules

Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/11681</identifier>
  <creators>
    <creator>
      <creatorName>Birkenmeier, Gary F.</creatorName>
      <givenName>Gary F.</givenName>
      <familyName>Birkenmeier</familyName>
      <affiliation>Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA</affiliation>
    </creator>
    <creator>
      <creatorName>Kara, Yeliz</creatorName>
      <givenName>Yeliz</givenName>
      <familyName>Kara</familyName>
      <affiliation>Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Tercan, Adnan</creatorName>
      <givenName>Adnan</givenName>
      <familyName>Tercan</familyName>
      <affiliation>Hacettepe Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>?-Endo Baer Modules</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2020</publicationYear>
  <dates>
    <date dateType="Issued">2020-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/11681</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1080/00927872.2019.1677690</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">Let N be a submodule of a right R-module M-R, and Then N is said to be projection invariant in M, denoted by if for all We call M-R ?-endo Baer, denoted ?-e.Baer, if for each there exists such that where denotes the left annihilator of N in H. We show that this class of modules lies strictly between the classes of Baer and quasi-Baer modules introduced in 2004 by Rizvi and Roman. Several structural properties are developed. In contrast to the Baer modules of Rizvi and Roman, the free modules of a Baer ring are ?-e.Baer. Moreover, (co-) nonsingularity conditions are introduced which enable us to extend the Chatters-Khuri result (connecting the extending and Baer conditions in a ring) to modules. We provide examples to illustrate and delimit our results.</description>
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