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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

Prime Ideals of Cancellative Semigroups

Jan Okniński Institute of Mathematics, Warsaw University, Warsaw, Poland; Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, PolandCorrespondence[email protected]
Pages 2733-2742 | Received 01 Jan 2003, Accepted 01 Apr 2003, Published online: 18 Aug 2006
 
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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.

Mathematics Subject Classification:

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.

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