English

$\sigma$-PBW Extensions of Skew Armendariz Rings

Rings and Algebras 2016-11-08 v1 Operator Algebras

Abstract

The aim of this paper is to investigate a general notion of σ\sigma-PBW extensions over Armendariz rings. As an application, the properties of being Baer, quasi-Baer, p.p. and p.q.-Baer are established for these extensions. We generalize several results in the literature for Ore extensions of injective type and skew PBW extensions.

Keywords

Cite

@article{arxiv.1611.01562,
  title  = {$\sigma$-PBW Extensions of Skew Armendariz Rings},
  author = {Armando Reyes and Héctor Suárez},
  journal= {arXiv preprint arXiv:1611.01562},
  year   = {2016}
}

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26 pages