Armendariz Modules over Skew PBW Extensions
Quantum Algebra
2016-12-21 v1
Abstract
The aim of this paper is to develop the theory of skew Armendariz and quasi-Armendariz modules over skew PBW extensions. We generalize the results of several works in the literature concerning Ore extensions to another non-commutative rings which can not be expressed as iterated Ore extensions. As a consequence of our treatment, we extend and unify different results about the Armendariz, Baer, p.p., and p.q.-Baer properties for Ore extensions and skew PBW extensions.
Keywords
Cite
@article{arxiv.1612.06628,
title = {Armendariz Modules over Skew PBW Extensions},
author = {Armando Reyes},
journal= {arXiv preprint arXiv:1612.06628},
year = {2016}
}
Comments
25 pages