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Centeral Armendariz rings relative to a monoid (1410.3486v1)
Published 13 Oct 2014 in math.RA
Abstract: In this paper, the notion of central Armendariz rings relative to a monoid is introduced which is a generalization of central Armendariz rings and investigate their properties. It is shown that if R is central reduced, then R is M-central Armendariz for a u.p.-monoid M. For a monoid M and ring R, we prove if R is an M-central Armendariz, then either R is commutative or M is cancellative. Various examples which illustrate and delimit the results of this paper are provided.