Azumaya algebra
= Azumaya algebra
{wiki=Azumaya_algebra}
An **Azumaya algebra** is a specific type of algebra over a commutative ring that behaves like a matrix algebra over a field in a certain sense, while being more general. Formally, an Azumaya algebra is a sheaf of algebras that satisfies a particular condition related to the notion of being "frobenius". More precisely, let \\( R \\) be a commutative ring.