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Azumaya algebras over Hensel rings [PDF]
Pacific Journal of Mathematics, 1975 openaire +3 more sources
Quadratic forms and Azumaya algebras
Sridharan, R., Knus, M.A., Ojanguren, M.
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Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojiang Guo
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojiang Guo
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Semigroup algebras which are Azumaya algebras
Semigroup Forum, 2023The authors study Azumaya semigroup algebras and characterize semigroup algebras of a finite semigroup which are Azumaya. Here is one result. Let \(S\) be an almost idempotent-free semigroup and \(K\) a field satisfying the matrix condition. Then \(K_0 [S]\) is an Azumaya algebra if and only if \(K_0 [S]\) is isomorphic to some matrix algebra \(M_n ...
Xiaojiang Guo
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Azumaya Algebras as Galois Comodules
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesablishvili, B., Wisbauer, R.
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Automorphisms of G-Azumaya Algebras
Canadian Journal of Mathematics, 1985Let R be a commutative ring, G a finite abelian group of order n and exponent m, and assume n is a unit in R. In [10], F. W. Long defined a generalized Brauer group, BD(R, G), of algebras with a G-action and G-grading, whose elements are equivalence classes of G-Azumaya algebras.
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Non-Isomorphic Equivalent Azumaya Algebras
Canadian Mathematical Bulletin, 1987AbstractWe explicitly describe an infinite collection of pairs of Azumaya algebras over the ring of integers of real quadratic number fields K which are maximal orders in the usual quaternion algebra over K, hence Brauer equivalent, but are not isomorphic.
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