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A GENERALIZATION OF REFLEXIVE RINGS

Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait


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        "affiliation": "Tubitak Bilgem, Informat & Informat Secur Res Ctr, Tubitak Gebze Yerleskesi, Gebze, Turkiye", 
        "name": "Calci, Mete Burak"
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        "affiliation": "Hangzhou Normal Univ, Dept Math, 2318 Yuhangtang Rd, Hangzhou 311121, Peoples R China", 
        "name": "Chen, Huanyin"
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        "affiliation": "Ankara Univ, Fac Sci, Dept Math, Dogol Caddesi, TR-06100 Ankara, Turkiye", 
        "name": "Halicioglu, Sait"
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    "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>", 
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    "title": "A GENERALIZATION OF REFLEXIVE RINGS"
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