\(n\)-exangulated categories (II): constructions from \(n\)-cluster tilting subcategories

DOI10.1016/j.jalgebra.2021.11.042OpenAlexW4200579419MaRDI QIDQ2068153

Martin Herschend, Hiroyuki Nakaoka, Yu Liu

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.11.042

zbMATH Keywords

triangulated categoryexact category\(n\)-angulated category\(n\)-exact category

Mathematics Subject Classification ID

Category theory; homological algebra (18-XX)

Related Items (12)

Hearts of twin cotorsion pairs on extriangulated categories ⋮ Hovey triples arising from two cotorsion pairs of extriangulated categories ⋮ Relative cluster categories and Higgs categories ⋮ \(n\)-exact categories arising from \(n\)-exangulated categories ⋮ The category of extensions and a characterisation of \(n\)-exangulated functors ⋮ Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors ⋮ Auslander–Reiten–Serre duality for n-exangulated categories ⋮ Pre-\((n + 2)\)-angulated categories ⋮ Auslander–Reiten theory in extriangulated categories ⋮ Idempotent completions of \(n\)-exangulated categories ⋮ Higher Auslander-Reiten sequences via morphisms determined by objects ⋮ Higher Auslander's defect and classifying substructures of \(n\)-exangulated categories

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