A proof of the generalized Nakayama conjecture for algebras with \(J^{2l+1}=0\) and \(A/J^ l\) representation finite

DOI10.1016/0022-4049(92)90093-UzbMath0794.16007WikidataQ122877753 ScholiaQ122877753MaRDI QIDQ1192254

Dieter Happel, Peter Dräxler

Publication date: 27 September 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finite dimensional algebrageneralized Nakayama conjecturefinistic dimensionminimal injection resolutionrepresentation finite

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Homological dimension in associative algebras (16E10) Jacobson radical, quasimultiplication (16N20)

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A note on the finitistic dimension conjecture

Cites Work

• On algebras with complete homology
• Finitistic dimension of Artinian rings with vanishing radical cube
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On a Generalized Version of the Nakayama Conjecture
• The Classification of Algebras by Dominant Dimension