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Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Xiaojiang Guo
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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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Totally Integrally Closed Azumaya Algebras
Canadian Mathematical Bulletin, 1990 AbstractEnochs introduced and studied totally integrally closed rings in the class of commutative rings. This article studies the same question for Azumaya algebras, a study made possible by Atterton's notion of integral extensions for non-commutative rings.The main results are that Azumaya algebras are totally integrally closed precisely when their ...
Macoosh, R., Raphael, R.
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Automorphisms of G-Azumaya Algebras
Canadian Journal of Mathematics, 1985 Let 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.
Margaret Beattie
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Non-Isomorphic Equivalent Azumaya Algebras
Canadian Mathematical Bulletin, 1987 AbstractWe 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.
Lindsay N. Childs
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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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On the Gersten–Witt complex of an Azumaya algebra with involution
Journal of Algebra, 2022Uriya First
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