Results 51 to 60 of about 109,686 (120)
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.
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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 +2 more
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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
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On Artin's theorem and Azumaya algebras [PDF]
, 1982 A short proof of the existence of central polynomial of matrix rings is given and some of its applications. The following characterization of Azumaya algebras is proved: R is Azumaya iff there exist ai, bi ϵ R, i = 1,…, k with ∑ik = 1 airbi ϵ Z(R), ∀r ϵ ...
Braun, Amiram
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Azumaya algebras and octonion algebras on algebraic varieties
, 2013 Wir behandeln nichtkommutative Algebren über Ringen und auf algebraischen Varietäten. Im ersten Teil beschreiben wir ein Kriterium, das angibt, ob und wie weit sich eine gegebene Azumaya-Algebra über dem Funktionenkörper einer algebraischen Varietät als
Stroth, Kristin
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Algebras for parameterised monads [PDF]
, 2009 Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Atkey, Robert
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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, +2 more
core
, 1981 Quillen has defined a K K -theory for symmetric monoidal categories. We show that Quillen’s groups agree with the groups K 0 {K_0} , K 1
Charles A. Weibel
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$K$-Theory of Azumaya algebras
Irish Mathematical Society Bulletin, 2010 For an Azumaya algebra $A$ which is free over its centre $R$, we prove that the $K$-theory of $A$ is isomorphic to $K$-theory of $R$ up to its rank torsion. We observe that a graded central simple algebra, graded by an abelian group, is a graded Azumaya algebra and it is free over its centre.
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A characterization of Azumaya algebras
Journal of Pure and Applied Algebra, 1976 AbstractLet R be a commutative ring with identity 1, and A a finitely generated R-algebra. It is shown that A is an Azumaya R-algebra if and only if every stalk of the Pierce sheaf induced by A is an Azumaya algebra.
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