On multiplicative bases in quasi-Frobenius algebras
type: Item
instance of: scholarly article
title: On multiplicative bases in quasi-Frobenius algebras
zbMATH Open document ID: 0549.16013
DOI: 10.1007/BF01174893
author: Josef Waschbüsch
author: Herbert Kupisch
published in: Mathematische Zeitschrift
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173455
review text: A finite dimensional algebra R over an algebraically closed field K is called regular provided every indecomposable projective, left or right, R-module has only finitely many submodules. In this note one gives a simple and new proof of the fact that a wide class of regular quasi- Frobenius algebras, containing those of finite-representation type, has a multiplicative basis, that is, a basis B with \(B\cup\{0\}\) multiplicatively closed.
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16L60
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 16P60
Mathematics Subject Classification ID: 16D40
zbMATH DE Number: 3875476
zbMATH Keywords: finite dimensional algebra
zbMATH Keywords: indecomposable projective
zbMATH Keywords: regular quasi- Frobenius algebras
zbMATH Keywords: finite-representation type
zbMATH Keywords: multiplicative basis
reviewed by: Andrzej Skowroński
MaRDI profile type: Publication
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OpenAlex ID: W2086006249
description: scientific article; zbMATH DE number 3875476