7 citations · 12 across the 14 of their papers we have counts for
20 papers
Generalized rigid modules and their polynomial extensions
Mohamed Louzari, Armando Reyes
Let be a ring with unity, an endomorphism of and a right -module. In this paper, we continue studding -rigid modules that were introduced by Gunner et al. \…
Noncommutative scheme theory and the Serre-Artin-Zhang-Verevkin theorem for semi-graded rings
Andrés Chacón, Armando Reyes
In this paper, we present a noncommutative scheme theory for the semi-graded rings generated in degree one defined by Lezama and Latorre \cite{LezamaLatorre2017} following the idea…
On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings
Andrés Chacón, Sebastián Higuera, Armando Reyes
We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, -regular and clean elements for skew PBW extensions over weak compatib…
On Weak Annihilators and Nilpotent Associated Primes of Skew PBW Extensions
Sebastián Higuera, Armando Reyes
We investigate the notions of weak annihilator and nilpotent associated prime defined by Ouyang and Birkenmeier \cite{OuyangBirkenmeier2012} in the setting of noncommutative rings…
Homogenized skew PBW extensions
Héctor Suárez, Armando Reyes, Yésica Suárez
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 -filtered skew PBW ext…
On -skew reflexive-nilpotents-property for rings
Héctor Suárez, Sebastián Higuera, Armando Reyes
In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for Ore extensions of injective type, and more generally, skew PBW extensions. With this aim, we introduce…