On multiplicative bases in quasi-Frobenius algebras

DOI10.1007/BF01174893zbMath0549.16013OpenAlexW2086006249MaRDI QIDQ800459

Josef Waschbüsch, Herbert Kupisch

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173455

zbMATH Keywords

finite dimensional algebramultiplicative basisindecomposable projectivefinite-representation typeregular quasi- Frobenius algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Representation theory of associative rings and algebras (16Gxx)

Related Items

Arbitrary algebras with a multiplicative basis, n-Algebras admitting a multiplicative basis, Arbitrary triple systems admitting a multiplicative basis, Associative algebras admitting a quasi-multiplicative basis., \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis, \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis, (ANTI)COMMUTATIVE ALGEBRAS WITH A MULTIPLICATIVE BASIS

Cites Work

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• On the indecomposable representations of algebras
• Selfinjective and simply connected algebras
• Basisalgebren symmetrischer Algebren und eine Vermutung von Gabriel
• Indecomposable modules for finite groups
• The standard form of a representation-finite algebra
• Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingungen.
• Symmetrische Algebren vom endlichen Modultyp.
• Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. I.