Generalized finiteness conditions
DOI10.1080/00927879408824998zbMath0806.16005OpenAlexW2000789799MaRDI QIDQ4295973
Publication date: 15 February 1995
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879408824998
number of generatorsfiniteness conditionsquotient modulesascending chain conditionsGoldie dimensionscardinality restrictions
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) 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 annihilators and summands: Goldie-type conditions (16P60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)
Related Items (3)
Cites Work
- A characterization of locally Artinian modules
- Uniform dimension and subdirect products
- Infinite Goldie dimensions
- Rings whose cyclics have finite Goldie dimension
- Dual generalizations of the Artinian and Noetherian conditions
- A counter-example to a theorem of Kurshan
- Modules whose quotients have finite Goldie dimension
- Chains of modules with completely reducible quotients
- Torisonfree injective modules
- Some aspects of Goldie's torsion theory
- Rings whose cyclic modules have finitely generated socle
- -Products of injective, flat, and projective modules
- A characterization of artinian rings
- Large subdirect product of modules as direct summand of their direct product
- Subdirect products of injectives
- Large subdirect products of projective modules
This page was built for publication: Generalized finiteness conditions
