Centeral Armendariz rings relative to a monoid
Rings and Algebras
2014-10-15 v1
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.
Keywords
Cite
@article{arxiv.1410.3486,
title = {Centeral Armendariz rings relative to a monoid},
author = {Z. Sharifi},
journal= {arXiv preprint arXiv:1410.3486},
year = {2014}
}