Skew Poincar\'e-Birkhoff-Witt extensions over weak $\Sigma$-rigid rings
Quantum Algebra
2018-05-31 v1 Rings and Algebras
Abstract
In this paper we introduce the notion of weak -rigid ring which extends -rigid rings and -rigid rings defined for Ore extensions and skew PBW extensions, respectively. We also present the notion of weak -skew Armendariz ring which extends that of -skew Armendariz ring. In this way we generalize several results in the literature, from Ore extensions of injective type to the more general setting of skew PBW extensions.
Keywords
Cite
@article{arxiv.1805.11982,
title = {Skew Poincar\'e-Birkhoff-Witt extensions over weak $\Sigma$-rigid rings},
author = {Armando Reyes and Héctor Suárez},
journal= {arXiv preprint arXiv:1805.11982},
year = {2018}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1612.06628, arXiv:1611.01562, arXiv:1805.11980