{"paper":{"title":"Dualities in Koszul graded AS Gorenstein algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Roberto Martinez-Villa","submitted_at":"2012-11-05T17:45:03Z","abstract_excerpt":"The paper is dedicated to the study of certain non commutative graded AS Gorenstein algebras $\\Lambda $.\n  The main result of the paper is that for Koszul algebras $\\Lambda $ with Yoneda algebra $\\Gamma $, such that both $\\Lambda $ and $\\Gamma $ are graded AS Gorenstein noetherian of finite local cohomology dimension on both sides, there are dualities of triangulated categories:\n\\underline{$gr$}$_{\\Lambda}[\\Omega ^{-1}]$ $\\cong D^{b}(Qgr_{\\Gamma})$ and \\underline{$gr$}$_{\\Gamma}[\\Omega ^{-1}]$ $\\cong D^{b}(Qgr_{\\Lambda})$\nwhere, and $Qgr_{\\Gamma}$ is the category of tails, this is: the categor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0945","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"}