Generalized injectivity and chain conditions
DOI10.1017/S0017089500008880zbMath0773.16001WikidataQ123150037 ScholiaQ123150037MaRDI QIDQ4016245
Publication date: 16 December 1992
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
direct sumsclosed submodulefinite uniform dimensionACC on direct summandsfinitely generated right \(R\)-moduleessential submodulesemisimple moduleCEC-moduleCEF-module
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Homological dimension in associative algebras (16E10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)
Cites Work
- A characterization of rings with Krull dimension
- Quasi-injective modules with acc or dcc on essential submodules
- Cyclic modules whose quotients have all complement submodules direct summands
- On modules with finite uniform and Krull dimension
- Rings all of whose finitely generated modules are injective
- Continuous Rings with Acc on Essentials are Artinian
- Relative injectivity and chain conditions
- Endomorphism Rings of Modules over non-singular CS Rings
- Rings with dcc on essential left ideals
- On quasi-perfect rings
- Chain Conditions on Essential Submodules
- RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
- π-injective modules and rings whose cyclics are π-injective
- Noninjective Cyclic Modules
- Rings All of Whose Cyclic Modules Are Quasi-Injective
- Modules whose closed submodules are finitely generated
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