Results 71 to 80 of about 231,292 (124)

On ring homomorphisms of Azumaya algebras [PDF]

, 2005
The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra of constant rank over a commutative ring to another one of the same constant rank and over a reduced commutative ring induces a ring morphism between the ...
Adjamagbo, Kossivi, Charbonnel, Jean-Yves, van den Essen, Arno   +2 more
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Quadratic Pairs on Azumaya Algebras over a Scheme

, 2022
We investigate quadratic pairs for Azumaya algebras with involutions over a base scheme S as defined by Calmès and Fasel, generalizing the case of quadratic pairs on central simple algebras over a field (Knus, Merkurjev, Rost, Tignol).
Ruether, Cameron,, Neher, Erhard, Gille, Philippe   +2 more
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Quadratic forms and Azumaya algebras.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1978
Sridharan, R., Knus, M.A., Ojanguren, M.
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On the structure of skew groupoid rings which are Azumaya

, 2013
In this paper we present an intrinsic description of the structure of an Azumaya skew groupoid ring, having its center contained in the respective ground ring, in terms of suitable central Galois algebras and commutative Galois ...
Paques, A., Flores, D.
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On Azumaya galois extensions

, 2012
Let B be a Galois extension of an Azumaya algebra with Galois group G. Then B is characterized in terms of the commutator subring of BG in B and the skew group ring B?G.
Tuan Norhafizah binti Tuan Zakaria
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Moduli of étale subalgebras in an Azumaya algebra

, 2004
Let $A$ be a sheaf of Azumaya algebras over a Noetherian base $S$. In this paper we describe using generalized Severi-Brauer varieties, a quasi-projective moduli space parametrizing sheaves of ètale subalgebras of $A$. In the case that $S$ is the spectrum of a field, we study the geometry of this moduli space, and show that in certain cases it is a ...
openaire   +2 more sources

Azumaya algebras over schemes

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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Azumaya algebras and Barr's Theorem

We propose a constructive study of the étale topology and the notion of Azumaya algebra over a commutative ring. As an application of the syntactic version of Barr's Theorem, we show the equivalence between two definitions of Azumaya algebras.Nous ...
Neuwirth, Stefan, Lombardi, Henri, Coquand, Thierry   +2 more
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Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules

, 2011
: Let H be a Hopf algebra with bijective antipode, \u3b1, \u3b2\u2009 08\u2009Aut Hopf (H) and M a finite dimensional (\u3b1, \u3b2)-Yetter-Drinfeld module. We prove that End(M) endowed with certain structures becomes an H-Azumaya algebra, and the set of
Van Oystaeyen, Freddy, Panaite, Florin
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Classifying spaces for topological Azumaya algebras

, 2020
In this thesis, we study a family of smooth varieties, whose members are denoted B_n^r(C), that bears a similar relationship to topological Azumaya algebras as the Grassmannians G_{n,r}(C) do to complex vector bundles. Specifically, we will show that the
Gant, William S.
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