MMN-1855
On a generalization of NC-McCoy rings
Mohammad Vahdani Mehrabadi; Shervin Sahebi; Hamid H. S. Javadi;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. For a ring R, R[[x]] is J-McCoy if and only if R is 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.
Vol. 18 (2017), No. 1, pp. 337-345