{"paper":{"title":"Strongly tilting truncated path algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"A. Dugas, B. Huisgen-Zimmermann","submitted_at":"2014-07-10T04:43:09Z","abstract_excerpt":"For any truncated path algebra $\\Lambda$, we give a structural description of the modules in the categories ${\\cal P}^{<\\infty}(\\Lambda\\text{-mod})$ and ${\\cal P}^{<\\infty}(\\Lambda\\text{-Mod})$, consisting of the finitely generated (resp. arbitrary) $\\Lambda$-modules of finite projective dimension. We deduce that these categories are contravariantly finite in $\\Lambda\\text{-mod}$ and $\\Lambda\\text{-Mod}$, respectively, and determine the corresponding minimal ${\\cal P}^{<\\infty}$-approximation of an arbitrary $\\Lambda$-module from a projective presentation. In particular, we explicitly construc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2690","kind":"arxiv","version":1},"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"}