Results 51 to 60 of about 104 (97)

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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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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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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Reduced K-theory of Azumaya algebras

Journal of Algebra, 2006
Consider an Azumaya algebra \(A\) over a commutative ring \(R\), and let \(K_i\) denote the Quillen \(K\)-functor. For \(i\geq 0\), one defines \(ZK_i(A)\) and \(CK_i(A)\) as the kernel and co-kernel of the map \(K_i(R)\to K_i(A)\), induced by the embedding \(R\to A\). The author defines a \(D\)-functor from a category of algebras to Abelian groups, as
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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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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 ...
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Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]

Math Ann
Huybrechts D, Mattei D.
europepmc   +1 more source

Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]

Res Number Theory
Alaa Tawfik M, Newton R.
europepmc   +1 more source

Azumaya, semisimple and ideal algebras [PDF]

Bulletin of the American Mathematical Society, 1972
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Group Rings which are Azumaya Algebras [PDF]

Transactions of the American Mathematical Society, 1983
DeMeyer, F. R., Janusz, G. J.
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