On the relation between n-cotorsion pairs and (n + 1)-cluster tilting subcategories

DOI10.1142/S0219498822500116zbMath1479.18012arXiv1907.13541MaRDI QIDQ5030253

Panyue Zhou, Jing (Selena) He

Publication date: 16 February 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13541

zbMATH Keywords

triangulated categoriesexact categoriesextriangulated categories\(n\)-cotorsion pairs\((n+1)\)-cluster tilting subcategories

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)

Related Items (1)

One-sided Frobenius pairs in extriangulated categories

Cites Work

• Unnamed Item
• Cluster tilting for higher Auslander algebras.
• Triangulated quotient categories revisited
• Gluing of \(n\)-cluster tilting subcategories for representation-directed algebras
• Tilting subcategories in extriangulated categories
• \(n\)-cotorsion pairs
• Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories
• Proper classes and Gorensteinness in extriangulated categories
• Hearts of twin cotorsion pairs on extriangulated categories

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