Essentially quasi-injective modules and their direct sums

DOI10.3103/s1066369x24700476MaRDI QIDQ6656746

A. N. Abyzov, Unnamed Author

Publication date: 3 January 2025

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

AdS-moduleessentially endomorphism-extendable moduleessentially Noetherian moduleessentially quasi-injective module

Mathematics Subject Classification ID

Abelian groups (20Kxx) Modules, bimodules and ideals in associative algebras (16Dxx) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16Pxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rings and modules which are stable under automorphisms of their injective hulls.
• ADS modules.
• The structure of extending modules over noetherian rings
• Quasi-injective modules with acc or dcc on essential submodules
• Extending modules with injective or semisimple summands
• Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings
• Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers
• Automorphism-extendable and endomorphism-extendable modules
• Modules over discrete valuation domains
• Bezout modules and rings.
• Algebras for which every indecomposable right module is invariant in its injective envelope
• Automorphism-invariant semi-Artinian modules
• Continuous Rings with Acc on Essentials are Artinian
• Quasi-Injective Modules and Irreducible Rings
• Invariance of Modules under Automorphisms of their Envelopes and Covers
• Modules close to the automorphism-invariant and coinvariant
• Abelian Groups
• Arithmetical Rings and Endomorphisms
• CS-Modules with ACC or DCC on essential submodules
• On modules and rings having large absolute direct summands
• ADS abelian groups

This page was built for publication: Essentially quasi-injective modules and their direct sums