7 citations · 12 across the 14 of their papers we have counts for
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Skew PBW extensions over weak symmetric and -weak symmetric rings
Armando Reyes, Héctor Suárez
In this paper we study skew Poincaré-Birkhoff-Witt extensions over weak symmetric and -weak symmetry rings. Since these extensions generalize Ore extensions of injective typ…
Skew Poincaré-Birkhoff-Witt extensions over weak -rigid rings
Armando Reyes, Héctor Suárez
In this paper we introduce the notion of weak -rigid ring which extends -rigid rings and -rigid rings defined for Ore extensions and skew PBW extensions, respectively. We…
-PBW Extensions of Skew -Armendariz Rings
Armando Reyes
In this paper we present the notion of skew -Armendariz for the non-commutative rings known as -PBW extensions. This concept generalizes several definitions of Armendariz rin…
Burchnall-Chaundy theory for skew Poincaré-Birkhoff-Witt extensions
Armando Reyes, Héctor Suárez
In this paper we review some classical results on the algebraic dependence of commuting elements in several noncommutative algebras as differential operator rings and Ore extension…
PBW bases for some 3-dimensional skew polynomial algebras
Armando Reyes, Héctor Suárez
The aim of this paper is to establish necessary and sufficient algorithmic conditions to guarantee that an algebra is actually a 3-dimensional skew polynomial algebra in the sense…
Enveloping Algebra and Skew Calabi-Yau algebras over Skew Poincaré-Birkhoff-Witt Extensions
Armando Reyes, Héctor Suárez
In this paper we show that the tensor product of skew PBW extensions is a skew PBW ex- tension. We also characterize the enveloping algebra of a skew PBW extension. Finally, we est…