Results 111 to 120 of about 5,483 (201)
Álgebras de Hopf y extensiones PBW torcidas
In this article we relate some Hopf algebra structures over Ore extensions and over skew PBW extensions of a Hopf algebra. These relations are illustrated with examples.
Salcedo Plazas, Luis Alfonso
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Conjetura de Jacobson y extensiones PBW torcidas
Revista Integración, 2014 El propósito de este artículo es calcular el radical de Jacobson de las extensiones PBW torcidas sobre dominios. Como consecuencia de este resultado obtenemos una relación directa entre estas extensiones y la conjetura de Jacobson, lo cual nos permite ...
Armando Reyes
doaj
Uniform Dimension over Skew PBW Extensions
, 2014 Le but du présent article est de montrer que, dans certaines conditions, la dimension uniforme d'un anneau R est la même que la dimension uniforme d'une extension Poincare-Birkhoff-Witt asymétrique construite sur R.
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Базисы Гребнера–Ширшова и PBW-теоремы
, 2020 We review some applications of Gr¨obner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebrasСтатья является обзором некоторых ...
Chen, Yuqun +3 more
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Interpolating PBW Deformations for the Orthosymplectic Groups
, 2022 We propose to use interpolation categories to study PBW deformations, and demonstrate this idea for the orthosymplectic supergroups. Employing a combinatorial calculus based on pseudographs and partitions which we derive from a suitable Jacobi identity ...
Mackscheidt, Verity, Flake, Johannes
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Right Buchberger algorithm over bijective skew PBW extensions
, 2022 In this paper we present a right version of the algorithms developed for tocompute Gr\"obner bases over bijective skew PBW extensions in the left casegiven in [3]. In particular, we adapt the theory of reduction and we build aright division algorithm and
Fajardo, W.
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Discover SustainabilityWater dams have been constructed in various regions across the globe to enhance access to potable water. Among these, the Aiba water reservoir, commissioned in 1957, was envisioned as a pivotal source of treated water for Iwo and its environs ...
Timothy O. Ogunbode +3 more
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Kontsevich formality and PBW algebras
, 2007 This paper is based on the author's paper "Koszul duality in deformation quantization, I", with some improvements. In particular, an Introduction is added, and the convergence of the spectral sequence in Lemma 2.1 is rigorously proven. Some informal discussion in Section 1.5 is added.
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Propiedad Calabi-Yau para extensiones PBW torcidas graduadas
, 2017 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 extensions ...
Reyes, Armando +2 more
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Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property
, 2017 Poincare-Birkhoff-Witt (PBW) Theorems have attracted significant attention since the work of Drinfeld (1986), Lusztig (1989), and Etingof-Ginzburg (2002) on deformations of skew group algebras $H \ltimes {\rm Sym}(V)$, as well as for other cocommutative ...
Khare, Apoorva, Apoorva Khare
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