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Noetherian Semigroup Algebras
Authors:Jespers  E; Okninski  J
Institution:Department of Mathematics, Vrije Universiteit Brussel Pleinlaan 2, 1050 Brussel, Belgium; efjesper{at}vub.ac.be
Institute of Mathematics, Warsaw University Banacha 2, 02-097 Warsaw, Poland; okninski{at}mimuw.edu.pl
Abstract:A complete structural characterization of submonoids S of apolycyclic-by-finite group such that the semigroup algebra KS]over a field K is right noetherian is obtained. It follows thatsuch algebras are also left noetherian. 2000 Mathematics SubjectClassification 16P40, 16S36, 20M25 (primary), 20F22, 20C07,20M10 (secondary).
Keywords:
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