2016/12/20 by Reyes, Armando
#16E50 #16S30 #16S36 #16T20 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1612.06628
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.