{"paper":{"title":"Universal deformation rings of modules for algebras of dihedral type of polynomial growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frauke M. Bleher, Shannon N. Talbott","submitted_at":"2012-09-02T15:17:16Z","abstract_excerpt":"Let k be an algebraically closed field, and let \\Lambda\\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\\'{n}ski. We describe all finitely generated \\Lambda-modules V whose stable endomorphism rings are isomorphic to k and determine their universal deformation rings R(\\Lambda,V). We prove that only three isomorphism types occur for R(\\Lambda,V): k, k[[t]]/(t^2) and k[[t]]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0181","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"}