Right n-angulated categories arising from covariantly finite subcategories

DOI10.1080/00927872.2016.1175591zbMath1371.18010arXiv1409.2948OpenAlexW2963936965MaRDI QIDQ2976196

Zengqiang Lin

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1409.2948

zbMATH Keywords

quotient category\(n\)-angulated categorycovariantly finite subcategory\(n\)-exact Frobenius categoryright \(n\)-angulated category

Mathematics Subject Classification ID

Related Items (13)

Higher Auslander correspondence for dualizing \(R\)-varieties ⋮ Existence of n-Auslander–Reiten sequences via a finiteness condition ⋮ From \(n\)-exangulated categories to \(n\)-abelian categories ⋮ Higher-dimensional Auslander–Reiten theory on (d+2)-angulated categories ⋮ Localization theory in higher homological algebra ⋮ The completion of \(d\)-abelian categories ⋮ Pre-\((n + 2)\)-angulated categories ⋮ Representation of \(n\)-abelian categories in abelian categories ⋮ \(d \mathbb{Z}\)-cluster tilting subcategories of singularity categories ⋮ A general construction of \(n\)-angulated categories using periodic injective resolutions ⋮ \(n\)-abelian quotient categories ⋮ On $n$-exact categories ⋮ The existence of n-Auslander–Reiten sequences via determined morphisms

Cites Work

• \(n\)-abelian and \(n\)-exact categories
• The axioms for \(n\)-angulated categories
• The Grothendieck group of an \(n\)-angulated category
• Highern-angulations from local rings
• n-angulated quotient categories induced by mutation pairs
• Left triangulated categories arising from contravariantly finite subcategories

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