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NOETHERIAN SEMIGROUP ALGEBRAS

Published online by Cambridge University Press:  31 May 2006

E. JESPERS  and
J. OKNIŃSKI
E. JESPERS
Affiliation:
Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgiumefjesper@vub.ac.be
J. OKNIŃSKI
Affiliation:
Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland, okninski@mimuw.edu.pl
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Abstract

A complete structural characterization of submonoids $S$ of a polycyclic-by-finite group such that the semigroup algebra $K[S]$ over a field $K$ is right noetherian is obtained. It follows that such algebras are also left noetherian.

Keywords

16P4016S3620M25 (primary)20F2220C0720M10 (secondary)

Information

Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 3 , June 2006 , pp. 421 - 428
Copyright
© The London Mathematical Society 2006

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Footnotes

This work was supported in part by the Onderzoeksraad of the Vrije Universiteit Brussel, Fonds voor Wetenschappelijk Onderzoek (Belgium), the Flemish-Polish bilateral agreement BIL 01/31 and KBN research grant 2P03A 033 25 (Poland).