Composition series relative to a module

DOI10.1016/0022-4049(85)90027-1zbMath0549.16016OpenAlexW2035177053MaRDI QIDQ800462

Tatsuo Izawa

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90027-1

zbMATH Keywords

endomorphism ringscomposition seriestorsion theorycocriticalquasi- injectivetorsionless

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50)

Related Items (4)

A generalization of composition series ⋮ On Composition series relative to a module ⋮ Cocritical modules and finiteness relative to a module ⋮ The lattice of \(P\)-cotorsionless submodules of a module

Cites Work

• Unnamed Item
• The descending chain condition relative to a torsion theory
• Elements of noncommutative arithmetic. I
• On M-projective and M-injective modules
• On endomorphism rings of Noetherian quasi-injective modules
• Injective Modules and Injective Quotient Rings
• Rings satisfying a minimum condition on principal ideals.
• Coherent Rings and Fp -Injective Modules

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