A Characterization of Gorenstein Projective Modules

DOI10.1080/00927872.2015.1027356zbMath1354.16013OpenAlexW2295988358MaRDI QIDQ2810612

Li Liang, Jian Wang

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027356

zbMATH Keywords

cotorsion pairsGorenstein flat modulesGorenstein projective modulesstrongly Gorenstein modules

Mathematics Subject Classification ID

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) Syzygies, resolutions, complexes in associative algebras (16E05) Other classes of modules and ideals in associative algebras (16D80)

Related Items (10)

When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module ⋮ Projectively coresolved Gorenstein flat dimension of groups ⋮ Unnamed Item ⋮ Strict Mittag-Leffler conditions and Gorenstein modules ⋮ Precovers and orthogonality in the stable module category ⋮ Special precovered categories of Gorenstein categories ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ Maximum deconstructibility in module categories ⋮ Noncommutative G-hereditary rings ⋮ FP-injective dimensions and Gorenstein homology

Cites Work

• Almost free modules and Mittag-Leffler conditions.
• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
• Existence of Gorenstein projective resolutions and Tate cohomology
• Strongly Gorenstein projective, injective, and flat modules
• The countable telescope conjecture for module categories.
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• On the finiteness of Gorenstein homological dimensions
• On the telescope conjecture for module categories.
• On (Strongly) Gorenstein Von Neumann Regular Rings
• Mittat-Leffler conditions on modules
• APPLICATIONS OF COTORSION PAIRS

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