{"paper":{"title":"Auslander-Reiten $(d+2)$-angles in subcategories and a $(d+2)$-angulated generalisation of a theorem by Br\\\"uning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Francesca Fedele","submitted_at":"2018-03-19T15:51:26Z","abstract_excerpt":"Let $\\Phi$ be a finite dimensional algebra over an algebraically closed field $k$ and assume gldim$\\,\\Phi\\leq d$, for some fixed positive integer $d$. For $d=1$, Br\\\"uning proved that there is a bijection between the wide subcategories of the abelian category mod$\\,\\Phi$ and those of the triangulated category $\\mathcal{D}^b(\\text{mod}\\Phi)$. Moreover, for a suitable triangulated category $\\mathcal{M}$, J{\\o}rgensen gave a description of Auslander-Reiten triangles in the extension closed subcategories of $\\mathcal{M}$.\n  In this paper, we generalise these results for $d$-abelian and $(d+2)$-ang"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07002","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}