\(n\)-abelian quotient categories

DOI10.1016/j.jalgebra.2019.03.007zbMath1470.18020arXiv1807.06733OpenAlexW2963358299WikidataQ128295018 ScholiaQ128295018MaRDI QIDQ1732898

Panyue Zhou, Bin Zhu

Publication date: 25 March 2019

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

Full work available at URL: https://arxiv.org/abs/1807.06733

zbMATH Keywords

cluster-tilting subcategories\((n + 2)\)-angulated categories\(n\)-abelian categories\(n\)-Gorenstein categories

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)

Related Items (5)

Modules of infinite projective dimension ⋮ From \(n\)-exangulated categories to \(n\)-abelian categories ⋮ Relative Oppermann-Thomas cluster tilting objects in \((n+2)\)-angulated categories ⋮ Relative n-rigid objects in (n + 2)-angulated categories ⋮ Support \(\tau_n\)-tilting pairs

Cites Work

• Unnamed Item
• \(n\)-abelian and \(n\)-exact categories
• The axioms for \(n\)-angulated categories
• Higher-dimensional cluster combinatorics and representation theory
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• \(d\)-abelian quotients of \((d+2)\)-angulated categories
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Right n-angulated categories arising from covariantly finite subcategories
• Cluster-tilted algebras
• n-angulated quotient categories induced by mutation pairs
• Torsion Classes and t-Structures in Higher Homological Algebra
• n-angulated categories

This page was built for publication: \(n\)-abelian quotient categories