On Relative Injective Modules and Relative Coherent Rings

DOI10.1080/00927870600651208zbMath1104.16004OpenAlexW2087608673MaRDI QIDQ5489295

Nan Qing Ding, Li-Xin Mao

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600651208

zbMATH Keywords

finitely generated modulesflat modulesnumbers of generatorscotorsion theoriesenvelopescotorsion modulescoherent ringsfinitely presented modulesgeneralizations of injective modulesgeneralizations of projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

IFP-Flat Modules andIFP-Injective Modules, Weak Injective and Weak Flat Modules, Weak injective covers and dimension of modules, Slightly (m, n)-coherent rings and (m, n)-homological dimensions, Unnamed Item, Properties of Modules and Rings Relative to Some Matrices, Generalized Morphic Rings and Their Applications, On slightly P-coherent rings, On Divisible and Torsionfree Modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flat envelopes in commutative rings
• Injective and flat covers, envelopes and resolvents
• Commutative coherent rings
• Rings which have flat injective modules
• Flat covers of modules
• n-INJECTIVE ANDn-FLAT MODULES
• ON (m, n)-INJECTIVITY OF MODULES
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Rein injektive direkte summen von moduln
• Relative injective covers
• Onn-Coherent rings
• Rings satisfying certain chain conditions.