Quotient categories of extriangulated categories

DOI10.1080/00927872.2021.1958827zbMath1478.18009OpenAlexW3189240522MaRDI QIDQ5027507

Weiqing Cao, Jiaqun Wei, Qilian Zheng

Publication date: 4 February 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1958827

zbMATH Keywords

quotient categoryextriangulated categorymutation pairstrongly functorially finite subcategory

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Abelian categories, Grothendieck categories (18E10)

Cites Work

• Triangulated quotient categories revisited
• Applications of contravariantly finite subcategories
• Relative homological algebra and purity in triangulated 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
• Triangulated Quotient Categories
• Left triangulated categories arising from contravariantly finite subcategories
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Quotients of cluster categories
• Homological and homotopical aspects of torsion theories
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