On Right Strongly McCoy Rings

摘要

In this paper we introduce and investigate right strongly McCoy rings, that is, rings for which every right module has the McCoy property. We show, in particular, that a von Neuman regular ring or a Frobenius ring is right McCoy if and only if it is right strongly McCoy. We also give characterizations of domains and semiprime Goldie rings which are right strongly McCoy.