On a generalization of NC-McCoy Rings

In the present paper we concentrate on a natural generalization of NC-McCoy rings that is called J-McCoy and investigate their properties. We prove that local rings are J-McCoy. Also, for an abelian ring R, we show that R is J-McCoy if and only if eR is J-McCoy, where e is an idempotent element of R...

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Bibliographic Details
Published inarXiv.org
Main Authors Mohammad Vahdani Mehrabadi, Sahebi, Shervin, Javadi, Hamid H S
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.10.2014
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Summary:In the present paper we concentrate on a natural generalization of NC-McCoy rings that is called J-McCoy and investigate their properties. We prove that local rings are J-McCoy. Also, for an abelian ring R, we show that R is J-McCoy if and only if eR is J-McCoy, where e is an idempotent element of R. Moreover, we give an example to show that the J-McCoy property does not pass Mn(R), but S(R; n);A(R; n);B(R; n) and T(R; n) are J-McCoy
ISSN:2331-8422