[HTML][HTML] Calabi-Yau property for graded skew PBW extensions
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 …
iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter …
Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
A Niño, A Reyes - Algebra and Discrete Mathematics, 2021 - admjournal.luguniv.edu.ua
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 …
several classes of rings. We unify different results established in the literature for Ore …
On NI and NJ skew PBW extensions
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 …
Witt extensions are NI or NJ rings. Our results extend those corresponding for skew …
Minimal prime ideals of skew PBW extensions over 2-primal compatible rings
M Louzari, A Reyes - Revista Colombiana de Matemáticas, 2020 - revistas.unal.edu.co
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 …
this aim, we recall the transfer of the property of being 2-primal for these extensions. As a …
A classification of ring elements in skew PBW extensions over compatible rings
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 …
their elements such as units, idempotent, von Neumann regular, $\pi $-regular and the clean …
A Computational Maple Library for Skew PBW Extensions
W Fajardo - Fundamenta Informaticae, 2019 - dl.acm.org
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[HTML][HTML] Homogenized skew PBW extensions
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 …
rings known as skew PBW extensions. We introduce the notion of σ-filtered skew PBW …
A survey on the fusible property of skew PBW extensions
S Higuera, A Reyes - Journal of Algebraic Systems, 2022 - jas.shahroodut.ac.ir
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 …
the family of noncommutative rings known as skew Poincar'e-Birkhoff-Witt extensions. Our …
[HTML][HTML] Some special types of determinants in graded skew PBW extensions
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 …
over a finitely presented Koszul Auslanderregular algebra has trivial homological …