ACTA issues

Solution to the Chautauqua problem

Ross Willard

Acta Sci. Math. (Szeged) 65:3-4(1999), 461-467

Abstract. There exists an infinite ascending chain of finitely generated clones on a nine-element set for which the corresponding algebras are alternately finitely based and inherently nonfinitely based.

AMS Subject Classification (1991): 08B05

Keyword(s): finite algebra, clone, finitely based

Received December 10, 1998. (Registered under 2695/2009.)