Azumaya Algebras

Some articles on azumaya algebra, algebras, azumaya, algebra:

Azumaya Algebra
... In mathematics, an Azumaya algebra is a generalization of central simple algebras to R-algebras where R need not be a field ... Such a notion was introduced in a 1951 paper of Goro Azumaya, for the case where R is a commutative local ring ... An Azumaya algebra over a commutative local ring R is an R-algebra A that is free and of finite rank r as an R-module, such that the tensor product (where Ao is the opposite ...