ACTA issues

Minimal clones with weakly abelian representations

Tamás Waldhauser

Acta Sci. Math. (Szeged) 69:3-4(2003), 505-521
2913/2009

Abstract. We show that a minimal clone has a nontrivial weakly abelian representation iff it has a nontrivial abelian representation, and that in this case all representations are weakly abelian.


AMS Subject Classification (1991): 08A40, 20N02

Keyword(s): clone, minimal clone, (weakly) abelian algebra, groupoid


Received April 2, 2002. (Registered under 2913/2009.)