Results 41 to 50 of about 231,292 (124)

Moduli schemes of generically simple Azumaya modules [PDF]

, 2005
Moduli schemes of generically simple Azumaya modules.Let A be an Azumaya algebra over a smooth projective variety X or more generally, a torsion free coherent sheaf of algebras over X whose generic fiber is a central simple algebra.

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The resolution property via Azumaya algebras [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2021
Abstract Using formal-local methods, we prove that a separated and normal tame Artin surface has the resolution property. By proving that normal tame Artin stacks can be rigidified, we ultimately reduce our analysis to establishing the existence of Azumaya algebras.
openaire   +3 more sources

Picard sheaves, local Brauer groups, and topological modular forms

Journal of Topology, Volume 17, Issue 2, June 2024.
Abstract We develop tools to analyze and compare the Brauer groups of spectra such as periodic complex and real K$K$‐theory and topological modular forms, as well as the derived moduli stack of elliptic curves. In particular, we prove that the Brauer group of TMF$\mathrm{TMF}$ is isomorphic to the Brauer group of the derived moduli stack of elliptic ...
Benjamin Antieau, Lennart Meier, Vesna Stojanoska   +2 more
wiley   +1 more source

The general Ikehata theorem for H‐separable crossed products

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 657-662, 2000., 2000
Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ = Δ(B, G, f) a crossed product over B where f is a factor set from G × G to U(CG). It is shown that Δ is an H‐separable extension of B and VΔ(B) is a commutative subring of Δ if and only if C is a Galois ...
George Szeto, Lianyong Xue
wiley   +1 more source

A note on K-theory of Azumaya algebras

, 2010
For an Azumaya algebra A which is free over its centre R, we prove that K-theory of A is isomorphic to K-theory of R up to its rank torsions. We conclude that Ki(A, Z/m)=Ki (R, Z/m) for any m relatively prime to the rank and i ≥ 0.
Hazrat, Roozbeh (R16959), Millar, Judith R.   +1 more
core   +1 more source

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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Linear Algebra and Smarandache Linear Algebra [PDF]

, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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The discriminant algebra in cohomology [PDF]

, 2008
textInvariants of involutions on central simple algebras have been extensively studied. Many important results have been collected and extended by Knus, Merkurjev, Rost and Tignol in "The Book of Involutions" [BI].
Mallmann, Katja, 1973-
core  

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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Homological Algebra for Superalgebras of Differentiable Functions [PDF]

, 2012
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr., Roytenberg, D., Carchedi, D.J.   +2 more
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