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Noetherian Semigroup Algebras
Author(s) -
Jespers E.,
Okniński J.
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305018357
Subject(s) - noetherian , mathematics , semigroup , pure mathematics , mathematics subject classification , characterization (materials science) , field (mathematics) , algebra over a field , discrete mathematics , physics , optics
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. 2000 Mathematics Subject Classification 16P40, 16S36, 20M25 (primary), 20F22, 20C07, 20M10 (secondary).