Some remarks on projective generators and injective cogenerators

DOI10.1007/S10114-014-3227-ZzbMath1304.18032OpenAlexW2037919379WikidataQ114228373 ScholiaQ114228373MaRDI QIDQ477911

Gang Yang, Nan Qing Ding, Li Liang

Publication date: 10 December 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3227-z

zbMATH Keywords

injective cogeneratorsGorenstein injective complexesGorenstein projective complexes\(\mathcal W\)-Gorenstein modulesprojective generators

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (10)

Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs ⋮ Generalized Tate cohomology and Avramov–Martsinkovsky type sequences ⋮ Balance for relative cohomology of complexes ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ $VW$-Gorenstein complexes ⋮ \(\mathcal{W}\)-Gorenstein \(N\)-complexes ⋮ Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ Constructions of Frobenius pairs in abelian categories

Cites Work

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• Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
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• Gorenstein injective and projective complexes
• The flat model structure on 𝐂𝐡(𝐑)
• Stability of Gorenstein categories
• Stable module theory

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