The rational Loewy series and nilpotent ideals of endomorphism rings

DOI10.1007/BF02780396zbMath0638.16021MaRDI QIDQ1099235

José L. Gómez Pardo

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

index of nilpotencyendomorphism ring\(\Delta \)-moduleDCC on rationally closed submodulesfinite rational Loewy seriesL-distinguishednil subringsnilpotency of idealsQE(M)-closed submodulesquasi-injective hull

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (4)

On the endomorphism ring of a module with relative chain conditions ⋮ Links ore sets, and classical localizations ⋮ Counterinjective modules and duality ⋮ Relative chain conditions and module classes

Cites Work

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• Self-injective and PF endomorphism rings
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• The endomorphism ring of a Delta-module over a right Noetherian ring
• Modules semicocritical with respect to a torsion theory and their applications
• Chain conditions and nil ideals
• Density and equivalence
• Endomorphism rings of essential extensions of a Noetherian module
• On endomorphism rings of quasiprojective modules
• The ring of endomorphisms of a finite dimensional module
• U-distinguished modules
• Localization of modules and the central closure of rings
• Injective Modules and Injective Quotient Rings
• Nil Subrings of Endomorphism Rings of Modules

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