초록 close

In [12], McCoy proved that ifR is a commutative ring, thenwhenever g(x) is a zero-divisor inR[x], there exists a nonzeroc 2 R suchthat cg(x) = 0. In this paper, rst we extend this result to monoid rings.Then for a monoid M , we give some examples of M -quasi-Armendarizrings which are a generalization of quasi-Armendariz rings. Every re-duced ring is M -quasi-Armendariz for any unique product monoid Mand any strictly totally ordered monoid ( M; ). AlsoT4(R) is M -quasi-Armendariz when R is reduced and M -Armendariz.