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 …
[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 …
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 …
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 …
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 …
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 …
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 …
Armendariz modules over skew PBW extensions
A Reyes - Communications in Algebra, 2019 - Taylor & Francis
The aim of this article is to develop the theory of skew Armendariz and quasi-Armendariz
modules over skew PBW extensions. We generalize the results of several works in the …
modules over skew PBW extensions. We generalize the results of several works in the …
Some Open Problems in the Context of Skew PBW Extensions and Semi-graded Rings
O Lezama - Communications in Mathematics and Statistics, 2021 - Springer
In this paper, we discuss some open problems of non-commutative algebra and non-
commutative algebraic geometry from the approach of skew PBW extensions and semi …
commutative algebraic geometry from the approach of skew PBW extensions and semi …
[HTML][HTML] Symmetry and reversibility properties for quantum algebras and skew poincaré birkhoff-witt extensions
A Reyes, J Jaramillo - Ingeniería y Ciencia, 2018 - scielo.org.co
Our aim in this paper is to investigate symmetry and reversibility properties for quantum
algebras and skew PBW extensions. Under certain conditions we prove that these …
algebras and skew PBW extensions. Under certain conditions we prove that these …