Pre-\((n + 2)\)-angulated categories
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Publication:2685362
DOI10.1016/J.JALGEBRA.2022.12.035OpenAlexW4320233272MaRDI QIDQ2685362
Panyue Zhou, Xingjia Zhou, Jing (Selena) He
Publication date: 21 February 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.08103
idempotent completionquotient categories\((n + 2)\)-angulated categories\(n\)-exangulated categories\(n\)-exact categories
Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)
Cites Work
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- \(n\)-abelian and \(n\)-exact categories
- The axioms for \(n\)-angulated categories
- Rigid objects, triangulated subfactors and abelian localizations
- Idempotent completion of \(n\)-angulated categories
- \(n\)-exangulated categories (I): definitions and fundamental properties
- Triangulated quotient categories revisited
- Auslander-Reiten \((d + 2)\)-angles in subcategories and a \((d + 2)\)-angulated generalisation of a theorem by Brüning
- Applications of contravariantly finite subcategories
- \(n\)-exangulated categories (II): constructions from \(n\)-cluster tilting subcategories
- Tilting subcategories in extriangulated categories
- Frobenius \(n\)-exangulated categories
- Two new classes of \(n\)-exangulated categories
- Proper classes and Gorensteinness in extriangulated categories
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- From \(n\)-exangulated categories to \(n\)-abelian categories
- Noetherian hereditary abelian categories satisfying Serre duality
- Idempotent completion of pretriangulated categories
- Right n-angulated categories arising from covariantly finite subcategories
- n-angulated quotient categories induced by mutation pairs
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
- Left triangulated categories arising from contravariantly finite subcategories
- n-angulated categories
- (n + 2)-Angulated Quotient Categories
- Higher-dimensional Auslander–Reiten theory on (d+2)-angulated categories
- Quotients of cluster categories
- The morphism axiom for n-angulated categories
- Homological and homotopical aspects of torsion theories
- Idempotent completion of triangulated categories
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