GIAA

The objective of this paper is to investigate the ascending chain condition on principal left (resp. right) ideals of noncommutative rings known as skew PBW extensions. We consider these extensions over domains and over Sigma-rigid rings. We unify …

El plano de Jordan puede ser visto como un álgebra cociente, como una extensión de Ore graduada y como una extensión PBW torcida graduada. Usando estas interpretaciones, se muestra de forma explícita que el plano de Jordan es un álgebra …

Esta investigación se centra en mostrar una panorámica sobre la formación científica de las mujeres en Colombia. Para este propósito, se relacionaron algunos referentes teóricos usados para llevar a cabo el estudio de la historia de la matemática en …

In this paper, k-linear representations of posets are used to define lattice-based schemes of visual cryptography for color images.

The aim of this paper is to investigate a general notion of 𝜎-PBW extensions over Armendariz rings. As an application, the properties of Baer, quasi-Baer, p.p., and p.q.-Baer are established for these extensions. We generalize several results in the …

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 …