The endomorphism ring of a finite-length module

DOI10.1017/S0004972700028045zbMath0658.16024MaRDI QIDQ3807383

Rainer Schulz

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

simple moduleradicalendomorphism ringcomposition factorLoewy lengthsimple submodulescomposition chainfinite length module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• Die absteigende Loewy-Länge von Endomorphismenringen
• A Limit on the Loewy Length of the Endomorphism Ring of a Module of Finite Length
• The Endomorphism Ring of an Artinian Module whose Homogeneous Length is Finite

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