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Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait
<?xml version='1.0' encoding='UTF-8'?> <record xmlns="http://www.loc.gov/MARC21/slim"> <leader>00000nam##2200000uu#4500</leader> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Chen, Huanyin</subfield> <subfield code="u">Hangzhou Normal Univ, Dept Math, 2318 Yuhangtang Rd, Hangzhou 311121, Peoples R China</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Halicioglu, Sait</subfield> <subfield code="u">Ankara Univ, Fac Sci, Dept Math, Dogol Caddesi, TR-06100 Ankara, Turkiye</subfield> </datafield> <datafield tag="909" ind1="C" ind2="4"> <subfield code="c">11</subfield> <subfield code="p">MATHEMATICA BOHEMICA</subfield> </datafield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">user-tubitak-adresli-yayinlar</subfield> </datafield> <datafield tag="540" ind1=" " ind2=" "> <subfield code="a">Creative Commons Attribution</subfield> <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield> </datafield> <datafield tag="024" ind1=" " ind2=" "> <subfield code="a">10.21136/MB.2023.0034-221</subfield> <subfield code="2">doi</subfield> </datafield> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">A GENERALIZATION OF REFLEXIVE RINGS</subfield> </datafield> <datafield tag="100" ind1=" " ind2=" "> <subfield code="a">Calci, Mete Burak</subfield> <subfield code="u">Tubitak Bilgem, Informat & Informat Secur Res Ctr, Tubitak Gebze Yerleskesi, Gebze, Turkiye</subfield> </datafield> <datafield tag="909" ind1="C" ind2="O"> <subfield code="o">oai:aperta.ulakbim.gov.tr:265186</subfield> <subfield code="p">user-tubitak-adresli-yayinlar</subfield> </datafield> <datafield tag="650" ind1="1" ind2="7"> <subfield code="2">opendefinition.org</subfield> <subfield code="a">cc-by</subfield> </datafield> <datafield tag="260" ind1=" " ind2=" "> <subfield code="c">2023-01-01</subfield> </datafield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="u">https://aperta.ulakbim.gov.trrecord/265186/files/bib-a9fb81cd-09ef-41d8-86db-40f9bfa20ca7.txt</subfield> <subfield code="z">md5:5b56a098bd9afd51c11c6541b1cf9360</subfield> <subfield code="s">111</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <controlfield tag="005">20240607112649.0</controlfield> <controlfield tag="001">265186</controlfield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">publication</subfield> <subfield code="b">article</subfield> </datafield> <datafield tag="520" ind1=" " ind2=" "> <subfield code="a"><p>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.</p></subfield> </datafield> </record>
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