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arXiv · 1410.3486

Centeral Armendariz rings relative to a monoid

Z. Sharifi
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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.

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Z. Sharifi. 2014-10-13. Centeral Armendariz rings relative to a monoid. https://arxiv.org/abs/1410.3486

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