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Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait
{ "@context": "https://schema.org/", "@id": 265186, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "affiliation": "Tubitak Bilgem, Informat & Informat Secur Res Ctr, Tubitak Gebze Yerleskesi, Gebze, Turkiye", "name": "Calci, Mete Burak" }, { "@type": "Person", "affiliation": "Hangzhou Normal Univ, Dept Math, 2318 Yuhangtang Rd, Hangzhou 311121, Peoples R China", "name": "Chen, Huanyin" }, { "@type": "Person", "affiliation": "Ankara Univ, Fac Sci, Dept Math, Dogol Caddesi, TR-06100 Ankara, Turkiye", "name": "Halicioglu, Sait" } ], "datePublished": "2023-01-01", "description": "<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>", "headline": "A GENERALIZATION OF REFLEXIVE RINGS", "identifier": 265186, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "A GENERALIZATION OF REFLEXIVE RINGS", "url": "https://aperta.ulakbim.gov.tr/record/265186" }
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