In this paper we study skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Since these extensions generalize Ore extensions of injective type and another noncommutative rings of polynomial type, we unify and extend several results in the …
Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn⟩ a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R. We …
We study the Lagrangian structure for weak solutions of two dimensional Navier–Stokes equations for a non-barotropic compressible fluid, i.e. we show the uniqueness of particle trajectories for two dimensional compressible fluids including the energy …
En este artículo se relacionan algunas estructuras de álgebra de Hopf sobre extensiones de Ore y extensiones PBW torcidas de un álgebra de Hopf. Estas relaciones son ilustradas con ejemplos. También se demuestra que las extensiones Hopf Ore y las …
In this short note we present an elementary matrix-constructive algorithmic proof of the Quillen-Suslin theorem for Ore extensions $A:=K[x;\sigma, \delta]$, where $K$ is a division ring, $\sigma: K \to K$ is a division ring automorphism and $\sigma: …
In this paper, we study extended modules for a special class of Ore extensions. We will assume that $R$ is a ring and $A$ will denote the Ore extension $A:=R[x_1, \ldots, x_n:\sigma]$ for which $\sigma$ is an automorphism of $R$, $x_ix_j = x_jx_i$ …
El presente artículo presenta resultados generales y avances de la primera etapa de una propuesta de intervención en aula a través de la investigación acción educativa con enfoque cualitativo. El objetivo central de la investigación es el de …
Reviewing some classical results on the algebraic dependence of commuting elements in several noncommutative algebras as differential operator rings and Ore extensions, we extend these results in a more general setting of the family of noncommutative …
Un problema de investigación en Didáctica de la Matemática en el campo de Formación de Profesores, corresponde a la identificación de las componentes del conocimiento del profesor, necesario para una enseñanza efectiva (idónea) de tópicos específicos …
In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer, p.p. and p.q.-Baer over skew PBW extensions. Using a notion of compatibility, we generalize several propositions established for Ore extensions and present …