Results 61 to 70 of about 231,292 (124)
, 2012 Let B be an Azumaya algebra with a finite inner automorphism group G. It is shown that if B contains a maximal commutative Galois algebra S with Galois group G|S restricted by and isomorphic with G, then B contains a crossed product D(S,G, f ) with a ...
Tuan Norhafizah binti Tuan Zakaria
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Azumaya’s Canonical Module and Completions of Algebras [PDF]
Nagoya Mathematical Journal, 1973 We are concerned with an algebra S over a commutative ring. Precisely S is a non-commutative ring with identity which is also a finitely generated unital R module such that r(xy) = (rx)y = x(ry) for r in R and x, y ∈ S. In section one, we assume A is a commutative, Artinian ring. Following Goro Azumaya (see (1, p.
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On partial Galois Azumaya extensions [PDF]
, 2011 Let α be a globalizable partial action of a finite group G over a unital ring R, A=R⋆αG the corresponding partial skew group ring, Rα the subring of the α-invariant elements of R and α⋆ the partial inner action of G (induced by α) on the centralizer CA(R)
Paques, A., Freitas, D.
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The Weil algebra and the Van Est isomorphism [PDF]
, 2011 This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic +9 more
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Azumaya algebras with involution
Journal of Algebra, 1978 One of the highpoints of the theory of central simple algebras as developed in the 1920s and 1930s was the results of Albert concerning simple rings with involution. A part of his results was the characterization of those finite dimensional central simple algebras which admit an involution.
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Deformations of Azumaya algebras
, 2006 In this paper we compute the deformation theory of a special class of algebras, namely of Azumaya algebras on a manifold ($C^{\infty}$ or complex analytic).
Nest, Ryszard +3 more
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On the Azumaya locus of almost commutative algebras [PDF]
Proceedings of the American Mathematical Society, 2010 We prove a general statement which implies the coincidence of the Azumaya and smooth loci of the center of an algebra in positive characteristic, provided that the spectrum of its associated graded algebra has a large symplectic leaf. In particular, we show that for a symplectic reflection algebra, the smooth and the Azumaya loci coincide.
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Azumaya Loci Of The Quantum Euclidean $2n$-Space [PDF]
, 2023 This article delves into the Azumaya loci of quantum euclidean 2n-space, providing a comprehensive exploration. We introduce a significant class of maximal-dimensional simple modules associated with this algebra.
Mukherjee, Snehashis
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On a characterization of Azumaya algebras
Publicacions Matemàtiques, 1988 A direct proof of Braun's characterization of Azumaya algebras is given.
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SK1 of Azumaya algebras over Hensel pairs
, 2010 Let A be an Azumaya algebra of constant rank n2 over a Hensel pair (R, I) where R is a semilocal ring with n invertible in R. Then the reduced Whitehead group SK1(A) coincides with its reduction SK1(A/I A).
Hazrat, Roozbeh (R16959)
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