Double centralizers of minimal faithful modules over left serial algebras

DOI10.1016/0021-8693(85)90035-3zbMath0582.16006OpenAlexW1993193391MaRDI QIDQ1068916

Ryohei Makino

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90035-3

zbMATH Keywords

local algebrasbalanced moduleserial algebrasQF-1 algebrasleft serial algebrasfinitely generated faithful A-moduleweakly QF-1 algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx)

Related Items (2)

QF-1 algebras with faithful direct sums of uniserial modules ⋮ QF-1 algebras of local-colocal type

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Tachikawa's theorem on algebras of left colocal type
• Generalized uniserial rings and their Kupisch series
• Double centralizers of injectives and projectives over artinian rings
• Rings with the double centralizer property
• Socle conditions for QF-1 rings
• Balanced Rings and a Problem of Thrall
• Balanced and QF-1 Algebras
• Some Generalizations of Quasi-Frobenius Algebras

This page was built for publication: Double centralizers of minimal faithful modules over left serial algebras