Cotorsion modules and relative pure-injectivity

DOI10.1017/S1446788700015858zbMath1161.16004OpenAlexW2102203622WikidataQ122156072 ScholiaQ122156072MaRDI QIDQ3412788

Li-Xin Mao, Nan Qing Ding

Publication date: 2 January 2007

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

Full work available at URL: https://doi.org/10.1017/s1446788700015858

zbMATH Keywords

perfect ringsvon Neumann regular ringscotorsion modulessemilocal ringsV-ringsrelative pure-injectivity

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items

When Does Every Simple Module Have a Projective Envelope?, On the Pure-injectivity Profile of a Ring, Pure-direct-injective modules, Copure direct injective modules, Coneat injective modules, SOME RESULTS ON TORSIONFREE MODULES, On envelopes and covers in the category of short exact sequences, Rings Related to Mininjective and Min-Flat Modules, Max-projective modules, GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES, Min-Flat Modules and Min-Coherent Rings, \(n\)-copure projective modules., \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules.

Cites Work

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• Sigma-cotorsion rings.
• Finite splitness and finite projectivity
• On V-rings and prime rings
• On rings over which every flat left module is finitely projective
• On semi-artinian \(V\)-modules
• Pure Baer injective modules
• Flat covers of modules
• When every finitely generated flat module is projective.
• Lectures on injective modules and quotient rings
• ALL MODULES HAVE FLAT COVERS
• Flat Covers and Flat Cotorsion Modules
• Rings with Projective Socle
• On & - semisimple rings. A study of the socle of a ring
• Injective modules and prime ideals
• Relative injective covers
• NOTES ON COTORSION MODULES
• h-Divisible Modules
• LEFT COTORSION RINGS
• On envelopes with the unique mapping property