d-Auslander–Reiten sequences in subcategories
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Publication:4961134
DOI10.1017/S0013091519000312zbMath1468.16028arXiv1808.02709WikidataQ126341215 ScholiaQ126341215MaRDI QIDQ4961134
Publication date: 22 April 2020
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.02709
extension closed subcategories\(d\)-abelian category\(d\)-cluster tilting subcategory\(d\)-pushout diagramhigher-dimensional Auslander-Reiten theory
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Abelian categories, Grothendieck categories (18E10)
Related Items (9)
Higher ideal approximation theory ⋮ Existence of n-Auslander–Reiten sequences via a finiteness condition ⋮ Axiomatizing subcategories of abelian categories ⋮ Auslander–Reiten–Serre duality for n-exangulated categories ⋮ Higher Auslander-Reiten sequences via morphisms determined by objects ⋮ Cotorsion classes in higher homological algebra ⋮ Relative n-rigid objects in (n + 2)-angulated categories ⋮ Maximal \(\tau_d\)-rigid pairs ⋮ The existence of n-Auslander–Reiten sequences via determined morphisms
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- Wide subcategories of 𝑑-cluster tilting subcategories
- Auslander-Reiten triangles in subcategories
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