Semigroup algebras of finite representation type
type: Item
instance of: scholarly article
title: Semigroup algebras of finite representation type
zbMATH Open document ID: 0790.20084
DOI: 10.1007/BF02573536
published in: Semigroup Forum
publication date: 1993-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/135202
review text: This is a survey of the results on semigroup algebras that have finitely many nonisomorphic indecomposable finite dimensional modules (so-called algebras of finite representation type). Some of the fundamental theorems on general algebras of finite type are stated, followed by results for special classes of algebras: group rings and semigroup rings of commutative semigroups, completely 0-simple semigroups, and the full transformation semigroups of a finite set.
Mathematics Subject Classification ID: 20M25
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 16S36
zbMATH DE Number: 150423
zbMATH Keywords: semigroup algebras
zbMATH Keywords: algebras of finite representation type
zbMATH Keywords: algebras of finite type
zbMATH Keywords: completely 0-simple semigroups
zbMATH Keywords: full transformation semigroups
author: Josif S. Ponizovskii
reviewed by: Jan Okniński
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 150423