Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories
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Publication:5124590
DOI10.1080/00927872.2020.1779737zbMath1445.18003arXiv2004.03709OpenAlexW3100528339MaRDI QIDQ5124590
Publication date: 30 September 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03709
Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10) Preadditive, additive categories (18E05) Representation theory of associative rings and algebras (16G99) Localization of categories, calculus of fractions (18E35) Derived categories, triangulated categories (18G80)
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Abelian categories from triangulated categories via Nakaoka-Palu's localization, The category of extensions and a characterisation of \(n\)-exangulated functors, Hearts of twin cotorsion pairs revisited: integral and abelian hearts
Cites Work
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- General heart construction for twin torsion pairs on triangulated categories
- General heart construction on a triangulated category. I: Unifying \(t\)-structures and cluster tilting subcategories
- Model structures on exact categories
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Triangulated quotient categories revisited
- Phantom ideals and cotorsion pairs in extriangulated categories
- Cotorsion pairs, model category structures, and representation theory
- Tilting subcategories in extriangulated categories
- Quasi-abelian hearts of twin cotorsion pairs on triangulated categories
- Hearts of twin cotorsion pairs on exact categories
- Hearts of twin cotorsion pairs on extriangulated categories
- From triangulated categories to abelian categories: cluster tilting in a general framework
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- From triangulated categories to module categories via localization II: calculus of fractions
- How To Make Ext Vanish
- Cluster-tilted algebras
- Exact categories and vector space categories
- LOCALIZATIONS OF THE HEARTS OF COTORSION PAIRS
- Filtered objects in extriangulated categories
- A Torsion Theory for Abelian Categories
- Homological and homotopical aspects of torsion theories