nLab
matrix algebra

Contents

Idea

The associative algebra of matrices over some ring under matrix multiplication is the coresponding matrix algebra.

Properties

Relation to groupoid algebras

The algebra of n×nn \times n-matrices is equivalently the groupoid convolution algebra of the pair groupoid on the set with nn-elements.

Norms

The matrix algebra over a normed ring is naturally itself a normed ring. See at normed ring – Examples – matrix ring.

Last revised on July 13, 2014 at 23:26:40. See the history of this page for a list of all contributions to it.