Results 71 to 80 of about 2,189 (114)
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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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 AnnHuybrechts D, Mattei D.
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Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Res Number TheoryAlaa Tawfik M, Newton R.
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Azumaya, semisimple and ideal algebras [PDF]
Bulletin of the American Mathematical Society, 1972 openaire +2 more sources
Group Rings which are Azumaya Algebras [PDF]
Transactions of the American Mathematical Society, 1983 DeMeyer, F. R., Janusz, G. J.
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The Brauer Group of Graded Azumaya Algebras [PDF]
Transactions of the American Mathematical Society, 1973 Childs, L. N., Garfinkel, G., Orzech, M.
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Derivations in Azumaya algebras
Kyoto Journal of Mathematics, 1967 Roy, A., Sridharan, R.
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