Abelian categories arising from cluster tilting subcategories II: quotient functors

DOI10.1017/prm.2019.42zbMath1468.18014arXiv1809.06597OpenAlexW3102534881WikidataQ127499516 ScholiaQ127499516MaRDI QIDQ4965372

Panyue Zhou, Yu Liu

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06597

zbMATH Keywords

abelian categorycluster tilting subcategoryquotient functorextriangulated category

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80) Stable module categories (18G65)

Related Items (7)

Almost split triangles in pre-extriangulated categories ⋮ Continuous quivers of type \(A\) (IV). Continuous mutation and geometric models of \textbf{E}-clusters ⋮ Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors ⋮ Relative tilting classes in extriangulated categories ⋮ Relative rigid subcategories and \(\tau\)-tilting theory ⋮ Abelian quotients arising from extriangulated categories via morphism categories ⋮ A bijection triangle in extriangulated categories

Cites Work

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• Quotients of exact categories by cluster tilting subcategories as module categories
• Triangulated quotient categories revisited
• Abelian categories arising from cluster tilting subcategories
• Hearts of twin cotorsion pairs on extriangulated categories
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Abelian quotients of triangulated categories

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