ACTA issues

Some congruences on free commutative semigroups

Pierre Antoine Grillet

Acta Sci. Math. (Szeged) 58:1-4(1993), 3-23

Abstract. A precise title would be: congruences on finitely generated free commutative semigroups, such that the quotient semigroup is finite group-free. Classes modulo such a congruence run parallel to faces of the free semigroup; this permits a description which is more explicit and detailed than R├ędei's. Our results may be viewed as constructing all finite group-free commutative semigroups.

AMS Subject Classification (1991): 20M14

Keyword(s): finitely generated free commutative semigroups

Received February 28, 1991 and in revised form November 6, 1991. (Registered under 5529/2009.)