On a generalization of NC-McCoy Rings

2014/10/12 by Mehrabadi, Mohammad Vahdani, Sahebi, Shervin, Javadi, Hamid H. S.
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1410.3121

Abstract

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

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