Minimal prime ideals of skew PBW extensions over 2-primal compatible rings-Reference-Cited by-同舟云学术

Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Published:2020-01-01 Issue:1 Volume:54 Page:39-63
ISSN:2357-4100
Container-title:Revista Colombiana de Matemáticas
language:
Short-container-title:rev.colomb.mat

Author:

Louzari Mohamed,Reyes Armando

Abstract

In this paper, we characterize the units of skew PBW extensions over compatible rings. With this aim, we recall the transfer of the property of being 2-primal for these extensions. As a consequence of our treatment, the results established here generalize those corresponding for commutative rings and Ore extensions of injective type. In this way, we present new results for several noncommutative rings of polynomial type not considered before in the literature.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference54 articles.

1. S. Annin, Associated and Attached Primes Over Noncommutative Rings, PhD thesis, University of California, Berkeley, 2002.

2. S. Annin, Associated primes over Ore extension rings, J. Algebra Appl. 3 (2004), no. 2, 193-205.

3. V. A. Artamonov, Derivations of skew PBW extensions, Commun. Math. Stat. 3 (2015), no. 4, 449-457.

4. V. A. Artamonov, O. Lezama, and W. Fajardo, Extended modules and Ore extensions, Commun. Math. Stat 4 (2016), no. 2, 189-202.

5. V. V. Bavula, Generalized Weyl algebras and their representations, Algebra i Analiz 4 (1992), no. 1, 75-97.

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