The homotopy category and derived category of \(N\)-complexes

DOI10.1016/J.JALGEBRA.2014.10.053zbMath1305.18064OpenAlexW2003390721MaRDI QIDQ2255077

Xiao Yan Yang, Nan Qing Ding

Publication date: 6 February 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.10.053

zbMATH Keywords

homotopy category\(N\)-complexderived categorypretriangulated category

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (11)

Cartan-Eilenberg Gorenstein-injective \(m\)-complexes ⋮ Cartan-Eilenberg \(N\)-complexes with respect to self-orthogonal subcategories ⋮ Well generatedness and adjoints for homotopy categories of \(N\)-complexes ⋮ THE HOMOTOPY CATEGORIES OF N-COMPLEXES OF INJECTIVES AND PROJECTIVES ⋮ Gorenstein cohomology of N-complexes ⋮ Cotorsion pairs and adjoint functors in the homotopy category of N-complexes ⋮ Cohomology of torsion and completion of N-complexes ⋮ Gorenstein objects in the category of N-complexes ⋮ Cartan-Eilenberg Gorenstein projective N-complexes ⋮ \(\mathcal{W}\)-Gorenstein \(N\)-complexes ⋮ Derived categories of \(N\) DG categories

Cites Work

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• Relative homological algebra in the category of quasi-coherent sheaves.
• \(d^N=0\): Generalized homology
• Homological constructions on \(N\)-complexes
• \({\mathsf{N}}\)-complexes as functors, amplitude cohomology and fusion rules
• N-COMPLEXES AND HIGHER SPIN GAUGE FIELDS
• Left triangulated categories arising from contravariantly finite subcategories
• Gorenstein model structures and generalized derived categories
• Monomial Algebras over Infinite Quivers. Applications toN-Complexes of Modules
• Homological and homotopical aspects of torsion theories
• Homological algebra of \(N\)-complexes and Hochschild homology of roots of unity

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