On the homotopy category of AC-injective complexes
type: Item
instance of: scholarly article
title: On the homotopy category of AC-injective complexes
zbMATH Open document ID: 1397.18035
author: James Gillespie
published in: Frontiers of Mathematics in China
publication date: 2018-01-10T00:00:00Z
Mathematics Subject Classification ID: 18G35
zbMATH DE Number: 6823670
zbMATH Keywords: AC-injective
zbMATH Keywords: recollement
zbMATH Keywords: compactly generated
zbMATH Keywords: triangulated category
Wikidata QID: Q114222315
MaRDI profile type: Publication
full work available at URL: s11464-016-0551-x
OpenAlex ID: W2441374574
cites work: Cotorsion pairs in \(\mathbf{C}(R-\text{Mod})\)
cites work: Absolutely Clean, Level, and Gorenstein AC-Injective Complexes
cites work: Exact categories
cites work: Relative homological algebra
cites work: The flat model structure on 𝐂𝐡(𝐑)
cites work: Cotorsion pairs and degreewise homological model structures
cites work: Model structures on exact categories
cites work: How to construct a Hovey triple from two cotorsion pairs
cites work: Models for homotopy categories of injectives and Gorenstein injectives
cites work: Gorenstein complexes and recollements from cotorsion pairs
cites work: Models for mock homotopy categories of projectives
cites work: Cotorsion pairs, model category structures, and representation theory
cites work: Q4893212
cites work: the stable derived category of a noetherian scheme
cites work: The derived category of an exact category
cites work: Triangulated categories
cites work: Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
cites work: Q4296949
cites work: Cotorsion pairs and model structures on Ch(R)
cites work: On a question of Gillespie
DOI: 10.1007/S11464-016-0551-X
Recommended article: The homotopy category of injectives
Recommended article: The homotopy category of acyclic complexes of pure-projective modules
Recommended article: THE HOMOTOPY CATEGORIES OF N-COMPLEXES OF INJECTIVES AND PROJECTIVES
Recommended article: Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory
Recommended article: A note on homotopy categories of FP-injectives
Recommended article: Strong homotopy types of acyclic categories and \(\varDelta\)-complexes
Recommended article: The homotopy category and derived category of \(N\)-complexes
Recommended article: The homotopy category of complexes of projective modules
Recommended article: Q4230985
Recommended article: Homological epimorphisms, homotopy epimorphisms and acyclic maps
description: scientific article; zbMATH DE number 6823670