Cotorsion pairs and a \(K\)-theory localization theorem

DOI10.1016/J.JPAA.2020.106399zbMath1453.19004arXiv1911.00613OpenAlexW3020439860MaRDI QIDQ2184782

Maru Sarazola

Publication date: 29 May 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00613

zbMATH Keywords

algebraic \(K\)-theoryexact categorylocalizationcotorsion pairWaldhausen category

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Higher algebraic (K)-theory (19D99)

Related Items (1)

Homotopical algebra from cotorsion pairs in extriangulated categories

Cites Work

• Cotorsion pairs, model category structures, and representation theory
• Delooping the \(K\)-theory of exact categories
• Relative homological algebra
• Negative \(K\)-theory of derived categories
• Exact categories
• ALL MODULES HAVE FLAT COVERS
• Higher algebraic K-theory: I
• Des catégories abéliennes
• Homological and homotopical aspects of torsion theories
• Algebraic \(K\)-theory
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