Cotorsion pairs in \(\mathbf{C}(R-\text{Mod})\)
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Publication:1945724
DOI10.1216/RMJ-2012-42-6-1787zbMath1268.18011MaRDI QIDQ1945724
Juan Rada, Overtoun M. G. Jenda, Edgar E. Enochs, Diego Bravo, Alina C. Iacob
Publication date: 9 April 2013
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1361800606
Related Items (16)
Gorenstein complexes and recollements from cotorsion pairs ⋮ Homological dimensions and abelian model structures on chain complexes ⋮ Auslander's formula: variations and applications ⋮ Derived, coderived, and contraderived categories of locally presentable abelian categories ⋮ Homotopy category of projective complexes and complexes of Gorenstein projective modules. ⋮ On the homotopy category of AC-injective complexes ⋮ On K-absolutely pure complexes ⋮ On exact categories and applications to triangulated adjoints and model structures ⋮ Cotorsion pairs and adjoint functors in the homotopy category of N-complexes ⋮ Model structures and relative Gorenstein flat modules and chain complexes ⋮ A cotorsion theory in the homotopy category of flat quasi-coherent sheaves ⋮ Kaplansky Classes and Cotorsion Theories of Complexes ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ TWO DESCRIPTIONS OF RELATIVE DERIVED CATEGORIES ⋮ On Cotorsion Pairs of Chain Complexes ⋮ Applications of hyperhomology to adjoint functors
Cites Work
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- Projective modules
- Some adjoints in homotopy categories
- Cotorsion pairs, model category structures, and representation theory
- Cotorsion pairs and degreewise homological model structures
- Approximations and endomorphism algebras of modules.
- Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications
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