SEMIGROUP GRADINGS OF FULL MATRIX RINGS
Sorin Dăscălescu, Andrei V. Kelarev, Leon van Wyk · Communications in Algebra · 2001
Let F be a field, and let A = Mn(F) be the algebra of all n n matrices over F. For each finite semigroup S, we describe all gradings A = sSAs of A by S such that all standard matrix units eij of A are homogeneous elements of A.