Results 61 to 70 of about 98 (94)
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Totally Integrally Closed Azumaya Algebras
Canadian Mathematical Bulletin, 1990AbstractEnochs 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, 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 First
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Abundant semigroup algebras which are Azumaya
Semigroup Forum, 2021Xiaojiang Guo, Guo Xiaojiang
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