ACTA issues

Algebras whose subalgebras and reducts are trivial

Béla Csákány, Keith A. Kearnes

Acta Sci. Math. (Szeged) 63:3-4(1997), 379-381

Abstract. Algebras having only trivial subalgebras and reducts are determined up to equivalence. They are simple, and their clones are simple, too; thus, in a sense, they are the smallest algebras.

AMS Subject Classification (1991): 08A30, 08A40

Received January 27, 1997. (Registered under 5772/2009.)