A crossed product algebra F is hence solvable if and only if it can be constructed out of such a finite chain of subalgebras. This result was stated for division crossed product algebras by Petit and overlaps with a similar result by Albert which, however, was not explicitly stated in ...
One of the first important applications was to show that a cleft extension is just a crossed product with invertible cocycle; this is also equivalent to a Hopf-Galois extension with the normal basis property. Let H 4 be the non- commutative Hopf algebra of Sweedler. It is the free k-...
functionsonX,letB=k[G]⋉Abecrossedproductalgebrawithmultiplicationdefined byga=a g g,wherea g denotestheresultofg-actionona.Denotebyπ g theoperatorof symmetrizationbyg:ifghasorderk,thenπ g = 1 k k i=1 g i .Letitactonthemultivectors ofdegreelasπ g ∧...∧π g (lcomponents).Le...
Recently, the so-called product MV algebras have been introduced and the entropy of partitions in these algebras have been studied. In this paper the previ... Jozefina Petrovicova - 《Fuzzy Sets & Systems》 被引量: 26发表: 2001年 Generalized fuzzy K-algebras A new kind of logical algebra,...
This has several consequences, in particular in the case where the crossed product algebra is the bismash product associated with a group factorization of a finite group. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by ...
Abstract We define the crossed product of a C*-algebra by a hypergroup via a group coaction. We generalize the results on Hecke C*-algebra crossed products to our setting. © 2012 Mathematical Institute, Slovak Academy of Sciences This work is licensed under the Creative Commons Attribution-...
摘要: We study crossed product algebras of degree 4, and present a new space-time code construction based on a particular crossed product division algebra which exhibits very good performance.会议时间: 2007/12/16 收藏 引用 批量引用 报错 分享 ...
An exotic crossed product is a way of associating a C ∗-algebra to each C ∗-dynamical system that generalizes the well-known universal and reduced crossed products. Exotic crossed products provide natural generalizations of, and tools to study, exo
V Lakshmibai,P Littelmann - 《Journal of Algebra》 被引量: 60发表: 2002年 Equivariant K-theory Topological K-theory [2] has many variants which have been developed and exploited for geometric purposes. There are real or quaternionic versions, "Real" ... MF Atiyah,GB Segal,RLE Schwarzenberg...
doi:10.1016/j.jalgebra.2007.05.002T. KeshavarzipourM. Mahdavi-HezavehiElsevier BVJournal of AlgebraT. Keshavarzipour and M. Mahdavi-Hezavehi. Crossed product conditions for central simple algebras in terms of irreducible subgroups. J. Algebra, 315(2):738-744, 2007. 7, 14...