Abstract. It is shown that every finite, simple, strongly Abelian algebra generating a minimal variety is term equivalent to a full matrix power of a $2$-element unary algebra. The proof is based on a classification of reducts of matrix powers of unary algebras.

AMS Subject Classification (1991): 08B05, 08A40, 08A05

Received January 10, 1994 and in revised form March 14, 1994. (Registered under 5568/2009.)