Homological dimensions relative to preresolving subcategories

DOI10.1215/21562261-2801795zbMath1408.18035arXiv1502.02354OpenAlexW3105944912MaRDI QIDQ482145

Zhao Yong Huang

Publication date: 19 December 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02354

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Related Items (13)

Some characterizations of Auslander and Bass classes ⋮ Homological dimensions relative to preresolving subcategories. II ⋮ Resolving subcategories of triangulated categories and relative homological dimension ⋮ On the stability question of Gorenstein categories ⋮ Unnamed Item ⋮ Homological invariants related to semidualizing bimodules ⋮ Special precovered categories of Gorenstein categories ⋮ Gorenstein algebras and recollements ⋮ Resolving resolution dimensions in triangulated categories ⋮ Duality pairs induced by Auslander and Bass classes ⋮ Left orthogonal classes of semidualizing bimodules ⋮ Resolving subcategories and dimensions in recollements of extriangulated categories ⋮ Notes on resolving resolution dimensions

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