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math.RA2022
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…
math.RA2021
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…
math.RA2021
On NI and NJ skew PBW extensions
Héctor Suárez, Andrés Chacón, Armando Reyes
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 polynom…