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 …
El presente artículo describe una experiencia con la caracterización del pensamiento matemático de los estudiantes de grado octavo, a través de investigación en el aula para el aprendizaje de los números irracionales. El artículo es el resultado de …
Indecomposable representations of the modular lattice L(A) where A is an equipped Dynkin diagram, are used to give a categorification for Catalan numbers.
Given a sequence of moments {cn}n∈ℤ associated with an Hermitian linear functional L defined in the space of Laurent polynomials, we study a new functional L which is a perturbation of L in such a way that a finite number of moments are perturbed. …
Consideramos un primer acercamiento a la noción de anillo de Armendariz para una extensión torcida de Poincaré-Birkho-Witt (PBW), y su anillo clásico de cocientes. Como una aplicación inmediata de este tratamiento, estudiamos las propiedades de Baer, …