Results 61 to 70 of about 104 (97)

Derivations in Azumaya algebras

open access: yesKyoto Journal of Mathematics, 1967
Roy, A., Sridharan, R.
openaire   +3 more sources

Azumaya Semigroup Algebras

Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojiang Guo, Guo Xiaojiang
exaly   +3 more sources

Semigroup algebras which are Azumaya algebras

Semigroup Forum, 2023
The 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, Guo Xiaojiang
exaly   +3 more sources

Azumaya Algebras as Galois Comodules

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesablishvili, B., Wisbauer, R.
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +2 more sources

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