Duality pairs and stable module categories
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Publication:1739178
DOI10.1016/j.jpaa.2018.11.010zbMath1409.13034arXiv1710.09906OpenAlexW2964167100WikidataQ105796407 ScholiaQ105796407MaRDI QIDQ1739178
Publication date: 25 April 2019
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.09906
Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
Related Items (8)
Duality pairs, generalized Gorenstein modules, and Ding injective envelopes ⋮ Frobenius pairs in abelian categories. Frobenius pairs in abelian categories, correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts ⋮ Unnamed Item ⋮ Duality pairs and FP-injective modules over formal triangular matrix rings ⋮ Relative Gorenstein rings and duality pairs ⋮ Unnamed Item ⋮ Gorenstein flat modules with respect to duality pairs ⋮ Model structures, recollements and duality pairs
Cites Work
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- Finiteness conditions and cotorsion pairs
- Semi-dualizing modules and related Gorenstein homological dimensions
- Cotorsion pairs induced by duality pairs
- The homotopy category of flat modules, and Grothendieck duality
- Bounded complexes of flat modules
- Width of complexes of modules
- Gorenstein homological dimensions.
- Cotorsion pairs, model category structures, and representation theory
- Relative homological algebra
- Cotorsion pairs and degreewise homological model structures
- Triangulated Categories
- Ding Projective and Ding Injective Modules
- Hereditary abelian model categories
- Model structures and relative Gorenstein flat modules and chain complexes
- Models for homotopy categories of injectives and Gorenstein injectives
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