Results 81 to 90 of about 109,686 (120)

Azumaya, semisimple and ideal algebras [PDF]

Bulletin of the American Mathematical Society, 1972
openaire   +2 more sources

Azumaya Algebras With Orthogonal Involution Admitting an Improper Isometry

Let $(A,σ)$ be an Azumaya algebra with orthogonal involution over a ring $R$ with $2\in R^\times$. We show that if $(A,σ)$ admits an improper isometry, i.e., an element $a\in A$ with $σ(a)a=1$ and $\mathrm{Nrd}_{A/R}(a)=-1$, then the Brauer class of $A ...
First, Uriya A.
core  

Residue maps, Azumaya algebras, and buildings [PDF]

The goal of this note is to give an explicit formula for the residues of twists of the matrix algebra in terms of the twisting cocycle. Combined with the Fixed Point Theorem for actions of finite groups on affine buildings, this leads to a quick proof of
Rapinchuk, Igor A.
core  

Derivations in Azumaya algebras

Kyoto Journal of Mathematics, 1967
Roy, A., Sridharan, R.
openaire   +3 more sources

Group Rings which are Azumaya Algebras [PDF]

Transactions of the American Mathematical Society, 1983
DeMeyer, F. R., Janusz, G. J.
openaire   +2 more sources

Polynomial identifies and Azumaya algebras

Journal of Algebra, 1973
openaire   +2 more sources

Spaces of Generators for Azumaya Algebras with Unitary Involution

Let $A$ be a finite dimensional algebra (possibly with some extra structure) over an infinite field $K$ and let $r\in\mathbb{N}$. The $r$-tuples $(a_1,\dots,a_r)\in A^r$ which fail to generate $A$ are the $K$-points of a closed subvariety $Z_r$ of the ...
First, Uriya A., Cantor, Omer
core  

Azumaya algebras over Hensel rings [PDF]

Pacific Journal of Mathematics, 1975
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

Azumaya Semigroup Algebras

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