Results 61 to 70 of about 109,686 (120)
Azumaya algebras with involutions
Journal of Algebra, 1990 Let R be a commutative ring and S/R an étale quadratic extension. Br(-) is the Brauer group and \({}_ 2Br(\)-) its 2-torsion. This paper studies the problem of when the sequence \[ _ 2Br(R)\quad \to^{Res}\quad_ 2Br(S)\quad \to^{Cores}\quad_ 2Br(R) \] is exact. If R, S are fields and char \(R\neq 2\), the sequence is known to be exact. From the authors'
Knus, M.-A, Parimala, R, Srinivas, V
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Categorical Torelli theorems: results and open problems. [PDF]
Rend Circ Mat Palermo, 2023 Pertusi L, Stellari P.
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DIFFERENTIAL OPERATORS ON AZUMAYA ALGEBRAS AND HEISENBERG ALGEBRAS
Communications in Algebra, 2001 We use the definition of differential operators on noncommutative rings given by V.Lunts and A.Rosenberg to find the differential operators on Azumaya algebras and the Heisenberg algebras.
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Azumaya Algebras with Involution, Polarizations, and Linear Generalized Identities [PDF]
, 1995 An algebra R with anti-isomorphism (*) is shown to be Azumaya if (*) is given by an element of R ⊗ Rop; in particular, this is the case if the canonical map R ⊗ CRop → EndC(R) is onto.
Rowen, L.
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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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Azumaya loci of skein algebras [PDF]
We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well.
Korinman, Julien, Karuo, Hiroaki
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Azumaya representation schemes
, 2016 : We extend Grothendieck topologies on commutative algebras to the category of all Azumaya algebras and we show that the functor assigning to an Azumaya algebra A the set of all algebra maps R\u2192A from a fixed C-algebra R, is a sheaf for all such ...
Hemelaer, Jens, Le Bruyn, Lieven
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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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Dissertation, Master of Science in Mathematics, North-West University, 2025This dissertation investigates the theory of Azumaya algebras in the context of schemes, with a particular focus on quadratic pairs and involutions. We start by giving an overview
Esterhuyse, WA
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