Strict Mittag–Leffler Conditions on Gorenstein Modules

DOI10.1080/00927872.2015.1027380zbMath1343.16012OpenAlexW2293515762MaRDI QIDQ2810640

Xiaoguang Yan, Xiaosheng Zhu, Yanjiong Yang

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027380

zbMATH Keywords

Gorenstein flat modulesGorenstein injective modulesGorenstein projective modulesdirect limitsGorenstein modulesstrict Mittag-Leffler conditions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65)

Related Items (5)

Notes on Gorenstein flat modules ⋮ Unnamed Item ⋮ Strict Mittag-Leffler conditions and Gorenstein modules ⋮ Strict Mittag–Leffler modules over Gorenstein injective modules ⋮ Coherent rings and Gorenstein flat character modules

Cites Work

• Strongly Gorenstein projective, injective, and flat modules
• Modules with chain conditions for finite matrix subgroups
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• On the finiteness of Gorenstein homological dimensions
• On the flat length of injective modules
• RINGS WITHOUT A GORENSTEIN ANALOGUE OF THE GOVOROV-LAZARD THEOREM
• STRONGLY GORENSTEIN FLAT MODULES
• Mittat-Leffler conditions on modules
• A solution to the Baer splitting problem
• On Homological Dimensions of Rings with Countably Generated Ideals.
• Stable module theory

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