The Left and Right Triangulated Structures of Stable Categories

DOI10.1080/00927872.2014.923896zbMath1330.18015arXiv1309.1364OpenAlexW1795172647MaRDI QIDQ3448257

Zhi-Wei Li

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1309.1364

zbMATH Keywords

stable categoryabelian model categorypretriangulated categoryleft triangulated category

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items

Reflective and coreflective subcategories

Cites Work

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• Model structures on exact categories
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• Cotorsion pairs, model category structures, and representation theory
• Models for singularity categories.
• Left triangulated categories arising from contravariantly finite subcategories
• The n -order of algebraic triangulated categories
• Abstract homotopy theory and generalized sheaf cohomology