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Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd"> <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> </descriptions> </resource>
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