On $\Sigma$-skew reflexive-nilpotents-property for rings

Autor:	Suárez, Héctor, Higuera, Sebastián, Reyes, Armando
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras 16S36 16S80 16U99 16W20 16N40
Druh dokumentu:	Working Paper
Popis:	In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for Ore extensions of injective type, and more generally, skew PBW extensions. With this aim, we introduce the notions of $\Sigma$-skew CN rings and $\Sigma$-skew reflexive (RNP) rings, for $\Sigma$ a finite family of ring endomorphisms of a ring $R$. Under certain conditions of compatibility, we study the transfer of the $\Sigma$-skew RNP property from a ring of coefficients to an Ore extension or skew PBW extension over this ring. We also consider this property for localizations of these noncommutative rings. Our results extend those corresponding presented by Bhattacharjee \cite{Bhattacharjee2020}. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.14061 Zobrazit plný text záznamu View this record from Arxiv