3 papers
math.RA2025
Homological properties of some quantum Heisenberg algebras
Samuel A. Lopes, Héctor Suárez, Yésica Suárez
In this paper we study the properties Koszul, Artin-Schelter regular and (skew) Calabi-Yau of some special types of quantum and generalized Heisenberg algebras and also analyze rel…
math.QA2021
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…
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…