Model structures and relative Gorenstein flat modules and chain complexes

DOI10.1090/conm/751/15084zbMath1437.18009arXiv1709.00658OpenAlexW4243046450MaRDI QIDQ3299547

Marco A. Pérez, Sergio Estrada, Alina C. Iacob

Publication date: 23 July 2020

Published in: Categorical, Homological and Combinatorial Methods in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00658

zbMATH Keywords

Gorenstein \(\mathcal{B}\)-flat modules and complexesGorenstein AC-flat modules and complexesrelative Gorenstein flat model structuressemi-definable classes

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Chain complexes (category-theoretic aspects), dg categories (18G35) Chain complexes in algebraic topology (55U15) Torsion theory for commutative rings (13D30) Simplicial sets, simplicial objects (18N50)

Related Items (10)

Homological dimensions relative to preresolving subcategories. II ⋮ 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 ⋮ Weakly Ding injective modules and complexes ⋮ Finiteness criteria for Gorenstein flat dimension and stability ⋮ The stable category of Gorenstein flat sheaves on a noetherian scheme ⋮ Duality pairs and stable module categories ⋮ Unnamed Item ⋮ A note on Gorenstein AC-projective and Gorenstein AC-flat modules ⋮ Model structures, recollements and duality pairs

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