Prime Ideals of Cancellative Semigroups

Abstract

For a class of prime ideals P of a cancellative semigroup S it is shown that the factors S/P have a structure of a monomial semigroup over a group. Consequences for the semigroup algebras K[S] are discussed.

Key Words:

• Prime ideal
• Cancellative semigroup
• Semigroup algebra

Mathematics Subject Classification:

• 20M12
• 16S36
• 20M25
• 20C07

Acknowledgments

This work was supported in part by a KBN research grant (Poland) and by Flemish-Polish bilateral agreement BIL 01/31.

Notes

^#Communicated by E. Puczylowski.