Semigroup rings with certain finiteness conditions
type: Item
instance of: scholarly article
title: Semigroup rings with certain finiteness conditions
zbMATH Open document ID: 0938.16016
DOI: 10.1007/BF02365069
author: I. B. Kozhukhov
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-11-22T00:00:00Z
review text: This is a survey of results on semigroup rings \(R[S]\) satisfying certain classical chain conditions. The topics considered include local and semilocal, Artinian, perfect and semiprimary, algebraically compact, self-injective and Noetherian rings. Many of the results presented are extensions of results known for semigroup algebras \(K[S]\) over a field \(K\) [see the monograph ``Semigroup Algebras'' (Marcel Dekker, 1991; Zbl 0725.16001) by the reviewer] to the case of arbitrary coefficient rings \(R\). -- There are essential gaps in the bibliography.
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 20M25
Mathematics Subject Classification ID: 16P70
zbMATH DE Number: 1364732
zbMATH Keywords: semigroup rings
zbMATH Keywords: chain conditions
zbMATH Keywords: semigroup algebras
reviewed by: Jan Okniński
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1364732