Graded skew PBW extensions were defined by the first author as a generalization of graded
iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter …

In this paper, we characterize the minimal prime ideals of skew PBW extensions over
several classes of rings. We unify different results established in the literature for Ore …

We establish necessary or sufficient conditions to guarantee that skew Poincaré–Birkhoff–
Witt extensions are NI or NJ rings. Our results extend those corresponding for skew …

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 …

For a skew PBW extension over a right duo compatible ring, we characterize several kinds of
their elements such as units, idempotent, von Neumann regular, $\pi $-regular and the clean …

A Computational Maple Library for Skew PBW Extensions | Fundamenta Informaticae skip to main
content ACM Digital Library home ACM home Google, Inc. (search) Advanced Search Browse …

In this paper, we provide a new and more general filtration to the family of noncommutative
rings known as skew PBW extensions. We introduce the notion of σ-filtered skew PBW …

Skew PBW extensions over symmetric rings Page 1 © Algebra and Discrete Mathematics
RESEARCH ARTICLE Volume 32 (2021). Number 1, pp. 76ś102 DOI:10.12958/adm1767 Skew …

We present several results that establish the fusible and the regular left fusible properties of
the family of noncommutative rings known as skew Poincar'e-Birkhoff-Witt extensions. Our …

In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension
over a finitely presented Koszul Auslanderregular algebra has trivial homological …