Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-19T21:06:06.470Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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).