Centeral Armendariz rings relative to a monoid
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2014
- DOI:
- 10.48550/arXiv.1410.3486
- arXiv:
- arXiv:1410.3486
- Bibcode:
- 2014arXiv1410.3486S
- Keywords:
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- Mathematics - Rings and Algebras