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
finitely generated commutative semigroup,
extended Schützenberger functor
Received August 15, 2000. (Registered under 2806/2009.)