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Decomposition of Topological Azumaya Algebras with Orthogonal Involution

open access: yes
Let $\mathcal{A}$ be a topological Azumaya algebra of degree $mn$ with an orthogonal involution over a CW complex $X$ of dimension less than or equal to $\min\{m,n\}$.
Arcila-Maya, Niny
core   +1 more source

Azumaya, semisimple and ideal algebras [PDF]

open access: yesBulletin of the American Mathematical Society, 1972
openaire   +2 more sources

Derivations in Azumaya algebras

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

Group Rings which are Azumaya Algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1983
DeMeyer, F. R., Janusz, G. J.
openaire   +2 more sources

Cancellation of Azumaya algebras

open access: yesJournal of Algebra, 1971
Ojanguren, Manuel, Sridharan, R.
openaire   +2 more sources

Azumaya Algebras With Orthogonal Involution Admitting an Improper Isometry

open access: yes
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.
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