$\sigma$-PBW Extensions of Skew $\Pi$-Armendariz Rings

Armando Reyes

$\sigma$-PBW Extensions of Skew $\Pi$-Armendariz Rings

Quantum Algebra 2018-05-31 v1

Authors: Armando Reyes

Abstract

In this paper we present the notion of skew $\Pi$ -Armendariz for the non-commutative rings known as $\sigma$ -PBW extensions. This concept generalizes several definitions of Armendariz rings presented in the literature for these extensions, and in particular, for Ore extensions of injective type. We investigate the relations between skew $\Pi$ -Armendariz, $\Sigma$ -rigid, $(\Sigma,\Delta)$ -skew Armendariz and $\Sigma$ -skew Armendariz rings rings.

Keywords

sigma-pbw extensions skew pi-armendariz rings ore extensions sigma-rigid rings skew armendariz rings

Cite

@article{arxiv.1805.11980,
  title  = {$\sigma$-PBW Extensions of Skew $\Pi$-Armendariz Rings},
  author = {Armando Reyes},
  journal= {arXiv preprint arXiv:1805.11980},
  year   = {2018}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:1612.06628

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