{"paper":{"title":"Untwisting algebras with van den Bergh duality into Calabi-Yau algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Mariano Su\\'arez-Alvarez","submitted_at":"2013-11-13T23:27:23Z","abstract_excerpt":"Jake Goodman and Ulrich Kr\\\"ahmer have recently shown that a twisted Calabi-Yau algebra $A$ with modular automorphism $\\sigma$ and dimension $d$ can be \"untwisted,\" in the sense that the Ore extensions $A[X;\\sigma]$ and $A[X^{\\pm1};\\sigma]$ are Calabi-Yau algebras of dimension $d+1$. In this note we show that this in fact extends more generally to the case where we start with an algebra with van den Bergh duality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3339","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"}