In mathematics, an Azumaya algebra is a generalization of central simple algebras to R {\displaystyle R} -algebras where R {\displaystyle R} need not...

Azumaya may refer to: Goro Azumaya (東屋 五郎) (1920–2010), Japanese mathematician Azumaya algebra Mount Azumaya (四阿山, Azumaya-san), mountain in Nagano Prefecture...

[citation needed] The Weyl algebra An Azumaya algebra The Clifford algebras, which are useful in geometry and physics. Incidence algebras of locally finite partially...

ring). *-algebra Affine Lie algebra Akivis algebra Algebra for a monad Albert algebra Alternative algebra AW*-algebra Azumaya algebra Banach algebra Birman–Wenzl...

H^{2}\left(\operatorname {Gal} (F/k),k^{*}\right).} Azumaya algebras generalize the notion of central simple algebras to a commutative local ring. If K is a field...

Gorō Azumaya (東屋 五郎, Azumaya Gorō, February 26, 1920– July 8, 2010) was a Japanese mathematician who introduced the notion of Azumaya algebra in 1951....

finitely generated module over its center; even more so, it is an Azumaya algebra over its center. As a consequence, there are many finite-dimensional...

(extensions of the rationals Q); see noncommutative number field. Azumaya algebra, generalization of CSAs where the base field is replaced by a commutative...

a theory of non-abelian bundle gerbes. Twisted sheaf Azumaya algebra Twisted K-theory Algebraic stack Bundle gerbe String group Basic bundle theory and...

module is a module that is not a direct sum of two nonzero submodules. Azumaya's theorem states that if a module has an decomposition into modules with...