Die absteigende Loewy-Länge von Endomorphismenringen

DOI10.1007/BF01169768zbMATH Open0537.16027MaRDI QIDQ792432

Rainer Schulz

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154977

zbMATH Keywords

Jacobson radicalsimple moduleJordan-Hölder theoremright perfect ringascending composition seriesdescending Loewy lengthindex of nilpotencesemi-artinian R-module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Division rings and semisimple Artin rings (16Kxx) Radicals and radical properties of associative rings (16Nxx)

Cites Work

• 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

Related Items (1)

The endomorphism ring of a finite-length module

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