On the existence of Auslander-Reiten \((d+2)\)-angles in \((d+2)\)-angulated categories

DOI10.11650/TJM/201102zbMath1482.18008arXiv1912.07983OpenAlexW3107944120MaRDI QIDQ2233608

Panyue Zhou

Publication date: 11 October 2021

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07983

zbMATH Keywords

locally finite\((d+2)\)-angulated categoryAuslander-Reiten \((d+2)\)-angle

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Derived categories, triangulated categories (18G80)

Related Items (1)

Auslander-Reiten n -exangles and morphisms determined by objects in n -exangulated categories

Cites Work

• Unnamed Item
• Unnamed Item
• Auslander-Reiten theory in a Krull-Schmidt category
• Higher-dimensional cluster combinatorics and representation theory
• Almost split sequences in subcategories
• Auslander-Reiten \((d + 2)\)-angles in subcategories and a \((d + 2)\)-angulated generalisation of a theorem by Brüning
• Relations for the Grothendieck groups of triangulated categories
• Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories
• Homotopy Cartesian diagrams in \(n\)-angulated categories
• Locally finite triangulated categories.
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Noetherian hereditary abelian categories satisfying Serre duality
• Representation theory of artin algebras iii almost split sequences
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• The generalized Auslander–Reiten duality on an exact category
• n-angulated categories
• Auslander-Reiten triangles in subcategories

This page was built for publication: On the existence of Auslander-Reiten \((d+2)\)-angles in \((d+2)\)-angulated categories