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Kosan, M. Tamer; Truong Cong Quynh; Zemlicka, Jan
<?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>Kosan, M. Tamer</dc:creator> <dc:creator>Truong Cong Quynh</dc:creator> <dc:creator>Zemlicka, Jan</dc:creator> <dc:date>2020-01-01</dc:date> <dc:description>In analogy to the elementwise definitions of UU- and UJ-rings, a ring R is called UNJ if 1 + N(R) + J(R) = U(R). After presenting several characterizations and properties, we consider the UNJ-rings within many well-studied classes of rings. In particular, we examine Dedekind finite rings, 2-primal rings, (semi)regular rings, pi-regular rings and rings that satisfy the identity x(2) = x. Finally, we conclude this paper with group UNJ-rings.</dc:description> <dc:identifier>https://aperta.ulakbim.gov.trrecord/9047</dc:identifier> <dc:identifier>oai:zenodo.org:9047</dc:identifier> <dc:rights>info:eu-repo/semantics/openAccess</dc:rights> <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights> <dc:source>JOURNAL OF ALGEBRA AND ITS APPLICATIONS 19(9)</dc:source> <dc:title>UNJ-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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