Auslander-Reiten \((d + 2)\)-angles in subcategories and a \((d + 2)\)-angulated generalisation of a theorem by Brüning

DOI10.1016/j.jpaa.2018.11.017zbMath1411.16017arXiv1803.07002OpenAlexW2793127000MaRDI QIDQ1739188

Francesca Fedele

Publication date: 25 April 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07002

zbMATH Keywords

extension closed subcategories\(d\)-abelian category\(d\)-representation finite algebrahigher dimensional Auslander-Reiten theory

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Abelian categories, Grothendieck categories (18E10)

Related Items

Abelian subcategories of triangulated categories induced by simple minded systems ⋮ \(n\)-exangulated categories (I): definitions and fundamental properties ⋮ Axiomatizing subcategories of abelian categories ⋮ Higher-dimensional Auslander–Reiten theory on (d+2)-angulated categories ⋮ Pre-\((n + 2)\)-angulated categories ⋮ Derived equivalences of self‐injective 2‐Calabi–Yau tilted algebras ⋮ Grothendieck groups and Auslander-Reiten \((d + 2)\)-angles ⋮ Classification of higher wide subcategories for higher Auslander algebras of type \(A\) ⋮ On the existence of Auslander-Reiten \((d+2)\)-angles in \((d+2)\)-angulated categories ⋮ Relative n-rigid objects in (n + 2)-angulated categories ⋮ Maximal \(\tau_d\)-rigid pairs ⋮ Tropical friezes and the index in higher homological algebra ⋮ THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA

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