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Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"> <dc:creator>Calci, Mete Burak</dc:creator> <dc:creator>Chen, Huanyin</dc:creator> <dc:creator>Halicioglu, Sait</dc:creator> <dc:date>2023-01-01</dc:date> <dc:description>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.</dc:description> <dc:identifier>https://aperta.ulakbim.gov.trrecord/265186</dc:identifier> <dc:identifier>oai:aperta.ulakbim.gov.tr:265186</dc:identifier> <dc:rights>info:eu-repo/semantics/openAccess</dc:rights> <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights> <dc:source>MATHEMATICA BOHEMICA 11</dc:source> <dc:title>A GENERALIZATION OF REFLEXIVE RINGS</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> <dc:type>publication-article</dc:type> </oai_dc:dc>
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