QF-1Algebras which have infinitely many minimal faithful modules

DOI10.1080/00927878608823304zbMath0589.16015OpenAlexW2091764345MaRDI QIDQ3717235

Ryohei Makino

Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823304

zbMATH Keywords

indecomposable modulesBrauer graphQF-1 algebrasdiserial ringsminimal faithful modules

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• Unnamed Item
• On rings for which every indecomposable right module has a unique maximal submodule
• On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Leowy constituent
• On algebras for which every faithful representation is its own second commutator
• The indecomposable modular representations of certain groups with dihedral Sylow subgroup
• Generalized uniserial rings and their Kupisch series
• Socle conditions for QF-1 rings
• On a generalization of serial rings.II

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