Modules whose closed submodules are finitely generated

DOI10.1017/S0013091500005083zbMath0718.16008MaRDI QIDQ5749414

Nguyen Viet Dung

Publication date: 1991

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

projective modulecyclic modulefinitely generated modulecomplementinjective moduleclosed submoduleNoetherian moduleuniform moduledirect sum of indecomposable submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

Relativization, absolutization, and latticization in ring and module theory ⋮ Generalized injectivity and chain conditions ⋮ The Osofsky-Smith Theorem for Modular Lattices, and Applications (II)

Cites Work

• Quasi-injective modules with acc or dcc on essential submodules
• Decomposing modules into projectives and injectives
• Rings all of whose finitely generated modules are injective
• A Right PCI Ring is Right Noetherian
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• Rings Characterized by their Cyclic Modules
• Noninjective Cyclic Modules

This page was built for publication: Modules whose closed submodules are finitely generated