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The Azumaya locus of certain quantum symplectic spaces
Communications in Algebra, 2023In this article, we explore the uniparameter variant of quantum symplectic space. We provide a comprehensive analysis of all potential maximal-dimensional simple modules associated with this algebra.
Snehashis Mukherjee
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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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Bulletin of the Malaysian Mathematical Sciences Society, 2015
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An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution
Manuscripta mathematica, 2019Given an Azumaya algebra with involution $$(A,\sigma )$$ ( A , σ ) over a commutative ring R and some auxiliary data, we construct an 8-periodic chain complex involving the Witt groups of $$(A,\sigma )$$ ( A , σ ) and other algebras with involution, and ...
Uriya A. First
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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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On the Gersten–Witt complex of an Azumaya algebra with involution
Journal of Algebra, 2022Uriya A Firšt
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