The Endomorphism Ring of an Artinian Module whose Homogeneous Length is Finite

DOI10.2307/2043381zbMath0502.16025OpenAlexW4236963218MaRDI QIDQ3967672

Rainer Schulz

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043381

zbMATH Keywords

endomorphism ringsindex of nilpotencycomposition factorsradicalsimple right modulehomogeneous lengthA-lengthright semi Artinian module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Division rings and semisimple Artin rings (16Kxx)

Related Items

Reflexive property on nil ideals, The endomorphism ring of a finite-length module, On semilocal rings, Die absteigende Loewy-Länge von Endomorphismenringen

Cites Work

• A Limit on the Loewy Length of the Endomorphism Ring of a Module of Finite Length
• Nil Subrings of Endomorphism Rings of Modules