Auslander's defects over extriangulated categories: an application for the general heart construction

DOI10.2969/JMSJ/84578457zbMath1485.18010arXiv1911.00259OpenAlexW3188759154MaRDI QIDQ2058814

Yasuaki Ogawa

Publication date: 10 December 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00259

zbMATH Keywords

heartcotorsion pairextriangulated category(co)localization sequenceGabriel-Quillen embedding

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Localization of categories, calculus of fractions (18E35) Derived categories, triangulated categories (18G80)

Related Items (8)

Classifying substructures of extriangulated categories via Serre subcategories ⋮ Cut cotorsion pairs ⋮ The left heart and exact hull of an additive regular category ⋮ Higher Auslander's defect and classifying substructures of \(n\)-exangulated categories ⋮ A bijection triangle in extriangulated categories ⋮ Exact structures and degeneration of Hall algebras ⋮ On the lattices of exact and weakly exact structures ⋮ Relative extriangulated categories arising from half exact functors

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