In mathematics, an Azumaya algebra is a generalization of central simple algebras to R {\displaystyle R} {\displaystyle R} -algebras where R {\displaystyle ...

10 июл. 2024 г. · Idea. An Azumaya algebra over a commutative unital ring R R is an algebra over R R that has an inverse up to Morita equivalence.

Definition 18.2: A ring 𝐴 satisfying the equivalent conditions of the lemma is called an Azumaya algebra over. 𝑅 . Example 18.3: Let 𝑅 be a Noetherian domain ...

4 нояб. 2015 г. · Azumaya algebras are introduced as generalized or global versions of central simple algebras. So the first part of this seminar will be ...

21 окт. 2015 г. · We provide examples of split and non-split Azumaya algebras of degree 2 admitting symplectic involutions, but no orthogonal involutions.

7 нояб. 2017 г. · A locally trivial algebra bundle over M whose fiber is isomorphic to the algebra of m×m matrices Mat m (ℂ) [1]. An element of an Azumaya ...

29 янв. 2016 г. · An Azumaya algebra that is faithfully projective but not free as a module over its centre. If possible, I'd also like the centre to be a noetherian k-algebra. Explicit examples of Azumaya algebras - MathOverflow A local-to global principle for splitting of Azumaya algebras An Azumaya algebra from a vector bundle, and a construction ... Hochschild cohomology of an Azumaya algebra - MathOverflow Другие результаты с сайта mathoverflow.net

It is shown that A is an Azumaya R-algebra if and only if every stalk of the Pierce sheaf induced by A is an Azumaya algebra.

6 июн. 2011 г. · I remind you that an Azumaya algebra A is a central and separable algebra. Now, I know that if A is an algebra over a skew-field or over a ...

(mathematics) A generalization of central simple algebras to R-algebras where R need not be a field.