QF-1 algebras with faithful direct sums of uniserial modules

DOI10.1016/0021-8693(91)90073-HzbMath0719.16011MaRDI QIDQ2639937

Ryohei Makino

Publication date: 1991

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

zbMATH Keywords

indecomposable modulesfinite-dimensional algebrafaithful serial moduleQF-1 algebraserial regular modulesquare zero radicalTachikawa algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Quasi-Frobenius rings (16L60)

Related Items (4)

Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semidistributive modules

Cites Work

• Unnamed Item
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• Character modules, submodules of a free module, and quasi-Frobenius rings
• 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
• QF-1 algebras of local-colocal type
• Double centralizers of minimal faithful modules over left serial algebras
• Socle conditions for QF-1 rings
• Some Generalizations of Quasi-Frobenius Algebras

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