On the endomorphism ring of a module with relative chain conditions

DOI10.1080/00927879008824041zbMath0706.16022OpenAlexW2050435266MaRDI QIDQ3487587

Jonathan S. Golan, Quan Shui Wu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824041

zbMATH Keywords

index of nilpotencyGoldie dimensionGrothendieck categoryendomorphism ringnil subringhereditary torsion theorynilpotent ideal\(\tau \) -torsionfree \(\tau \) -artinian module\(\tau \) -torsionfree \(\tau \) -noetherian module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Semisimple quotient rings and morita context, NOTES ON NILPOTENCY OF NIL SUBRINGS OF ENDOMORPHISM RINGS OF MODULES, Nil semigroups of endomorphism rings of modules with chain conditions, Relative chain conditions and module classes

Cites Work

• Unnamed Item
• On Goldie and dual Goldie dimensions
• On the endomorphism ring of a module Noetherian with respect to a torsion theory
• The endomorphism ring of a Delta-module over a right Noetherian ring
• Modules semicocritical with respect to a torsion theory and their applications
• The rational Loewy series and nilpotent ideals of endomorphism rings
• Dual goldie dimension
• A Note on Dualizing Goldie Dimension
• On the Nilpotency of Nil Subrings