[PDF][PDF] A notion of compatibility for Armendariz and Baer properties over skew PBW extensions
In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer,
pp and pq-Baer over skew PBW extensions. Using a notion of compatibility, we generalize …
pp and pq-Baer over skew PBW extensions. Using a notion of compatibility, we generalize …
Radicals and Köthe's conjecture for skew PBW extensions
The aim of this paper is to investigate different radicals (Wedderburn radical, lower nil
radical, Levitzky radical, upper nil radical, the set of all nilpotent elements, the sum of all nil …
radical, Levitzky radical, upper nil radical, the set of all nilpotent elements, the sum of all nil …
Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings
In this paper, we introduce weak (Σ, Δ)-compatible rings and study skew Poincaré–Birkhoff–
Witt extensions over these rings. We characterize the weak notion of compatibility for several …
Witt extensions over these rings. We characterize the weak notion of compatibility for several …
Skew Poincaré–Birkhoff–Witt extensions over weak zip rings
In this paper we study skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Since
these extensions generalize Ore extensions of injective type and another noncommutative …
these extensions generalize Ore extensions of injective type and another noncommutative …
PBW bases for some 3-dimensional skew polynomial algebras
arXiv:1805.03489v1 [math.QA] 9 May 2018 Page 1 arXiv:1805.03489v1 [math.QA] 9 May 2018
PBW bases for some 3-dimensional skew polynomial algebras Armando Reyes∗ Universidad …
PBW bases for some 3-dimensional skew polynomial algebras Armando Reyes∗ Universidad …
The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions
A Reyes, C Rodríguez - Communications in Mathematics and Statistics, 2021 - Springer
In this paper, we study the notion of McCoy ring over the class of non-commutative rings of
polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we …
polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we …
On the ACCP in skew Poincaré–Birkhoff–Witt extensions
The objective of this paper is to investigate the ascending chain condition on principal left
(resp. right) ideals of noncommutative rings known as skew PBW extensions. We consider …
(resp. right) ideals of noncommutative rings known as skew PBW extensions. We consider …
Associated prime ideals over skew PBW extensions
A Niño, MC Ramírez, A Reyes - Communications in Algebra, 2020 - Taylor & Francis
In this article, we continue the study of ideals of the noncommutative rings of polynomial type
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …
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 …
Koszulity and point modules of finitely semi-graded rings and algebras
O Lezama, J Gomez - Symmetry, 2019 - mdpi.com
In this paper, we investigate the Koszul behavior of finitely semi-graded algebras by the
distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and …
distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and …