Iterated ore extension
Webextensions. The term ”Poisson-CGL extensions” is introduced by K. Goodearl and M. Yakimov in [20], and they are special examples of iterated Poisson-Ore extensions [25] with compatible torus actions. See §2 for more details. Prime ideals of Poisson-CGL extensions are studied by K. Goodearl and S. Launois in [14]. On the other hand, cluster http://leroy.perso.math.cnrs.fr/Articles/induced.pdf
Iterated ore extension
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Web16 aug. 2011 · This construction seems to be similar to that of a two-step iterated Ore extension over A. The aim of this article is to describe those double Ore extensions … Web22 mei 2024 · In this paper, we show that after a change of variables one can in fact assume that Δ ( x) = β− 1 ⊗ x + x ⊗ 1 + w, with β is a grouplike element in R and w ∈ R ⊗ kR, when R ⊗ kR is a domain and R is noetherian. In particular, this completely characterizes skew polynomial extensions of a Hopf algebra that admit a Hopf structure ...
Web17 sep. 2009 · This construction seems to be similar to that of a two-step iterated Ore extension over . The aim of this paper is to describe those double Ore extensions … Web15 jun. 2024 · In computer algebra, an Ore algebra is a special kind of iterated Ore extension that can be used to represent linear functional operators, including …
Web1 jul. 2024 · 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. We prove that every graded quasi-commutative skew PBW extension of an Artin … Web30 apr. 2024 · Iterated Hopf Ore extensions (IHOEs) over an algebraically closed base field k of positive characteristic p are studied. We show that every IHOE over k satisfies a …
Web13 feb. 2024 · 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 $$\\varSigma $$ Σ -rigid rings. We unify and extend several results in the literature for Ore extensions and another families …
Web17 sep. 2009 · Our proof strategy is first to show that A e is a right double Ore extension of R e (Subsection 1.4), and then apply [2, Theorem 2.4] to show that it is indeed a length … richard wilcox crWebextension is a length two iterated Ore extension of the original universal en-veloping algebra. As a consequence, we observe certain ring-theoretic invari-ants of the universal … rednecks only datingWebI study graded iterated Ore extensions that are generated in degree 1, have injective σ's, and (global) dimension 5. I've written a paper that provides an example of a dimension 5 … richard wilcoxWeb28 jan. 2024 · Abstract. A double Ore extension was introduced by Zhang and Zhang (2008) to study a class of Artin-Shelter regular algebras. Here we give a definition of … richard wilde faWebOre extensions are also an essential tool in the theory of quantum groups. Many quantum groups can be presented using iterated Ore extensions. In this case one powerful tool is what is called the ”erasing of derivations” process due to G. Cauchon. (Cf. [Ca]). Ore extensions have both a ”ring theoretical aspect”: characterization of sim- red neck spoonshttp://leroy.perso.math.cnrs.fr/Articles/Introduction%20to%20noncommutative%20polynomial%20maps%20Jeddah.pdf richard wildgoose kcsWebHere we study the simplicity of an iterated Ore extension of a unital ring R. We give necessary conditions for the simplicity of an iterated Ore extension when R is a … rednecks on youtube