7 citations · 12 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
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…
On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras
Armando Reyes, Cristian Sarmiento
In this paper, we study the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras.
Some interactions between Hopf Galois extensions and noncommutative rings
Fabio Calderón, Armando Reyes
In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.…