ACTA issues

Subcomplete commutative semigroups

Pierre Antoine Grillet

Acta Sci. Math. (Szeged) 67:3-4(2001), 601-628

Abstract. This article defines complete and subcomplete commutative semigroups and gives general properties of these semigroups including Ponizovsky families and extended Schützenberger functors. Subcomplete semigroups include finitely generated commutative semigroups.

AMS Subject Classification (1991): 20M14

Keyword(s): complete, completion, subcomplete, finitely generated commutative semigroup, Ponizovsky family, {\cal K}, -class, Schützenberger monoid, extended Schützenberger functor

Received August 15, 2000. (Registered under 2806/2009.)