7 papers
Nilpotent graphs over skew PBW extensions
Sebastián Higuera, Armando Reyes
We investigate the diameter and girth of the nilpotent graph for skew PBW extensions over -primal rings, generalizing similar results on skew polynomial rings. Under certain com…
Uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials
Sebastián Higuera, Armando Reyes
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
Attached prime ideals over skew Ore polynomials
Sebastián Higuera, Armando Reyes
In this paper, we investigate the attached prime ideals of inverse polynomial modules over skew Ore polynomials.
On the uniform dimension and the associated primes of skew PBW extensions
Sebastián Higuera, María Camila Ramírez, Armando Reyes
In this paper, we study the uniform dimension and the associated prime ideals of induced modules over skew PBW extensions.
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…
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…