In this paper, we show that the tensor product of skew PBW extensions is a skew PBW extension. We also characterize the enveloping algebra of a skew PBW extension. Finally, we establish conditions for sufficiency to guarantee the property of being …
En el artículo se presenta un análisis epistemológico sobre la evolución histórica del objeto Grupo según la visión de Piaget y García. En esta dirección, se describen unos mecanismos en el proceso evolutivo de dicho objeto matemático que parten de …
A categorification in the sense of Ringel and Fahr is given to the sequences A016116 and A000034 in the OEIS by using t-orbits in the Auslander-Reiten quiver of some Dynkin algebras.
Pre-Koszul and Koszul algebras were defined by Priddy [15]. There exist some relations between these algebras and the skew PBW extensions defined in [8]. In [24] we gave conditions to guarantee that skew PBW extensions over fields it turns out …
Koszul and homogeneous Koszul algebras were defined by Priddy in [18]. There exist some relations between these algebras and the skew PBW extensions introduced in [7]. In this paper, we give conditions to guarantee that skew PBW extensions over …
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 of Bell and Smith [1].
Let R be a commutative algebra. In this paper, we show that constant skew PBW extensions of a generalized Koszul algebra R are also generalized Koszul. Let A be a semi-commutative skew PBW extension of R such that A is R-augmented. We show also that …
Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide …
Graded skew PBW extensions were defined by the first author as a generalization of graded iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter regularity and the (skew) Calabi- Yau condition for this kind of …
Esta investigación describe el impacto académico que han tenido los aportes realizados por matemáticas colombianas en el avance del desarrollo científico del país. Se analizan los factores que han incidido durante el proceso de formación académica en …