{"paper":{"title":"Universal Deformation Rings of Finitely Generated Gorenstein-Projective Modules over Finite Dimensional Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Hernan Giraldo, Jose Velez-Marulanda, Viktor Bekkert","submitted_at":"2017-05-12T03:52:27Z","abstract_excerpt":"Let $\\mathbf{k}$ be a field of arbitrary characteristic, let $\\Lambda$ be a finite dimensional $\\mathbf{k}$-algebra, and let $V$ be a finitely generated $\\Lambda$-module. F. M. Bleher and the third author previously proved that $V$ has a well-defined versal deformation ring $R(\\Lambda,V)$. If the stable endomorphism ring of $V$ is isomorphic to $\\mathbf{k}$, they also proved under the additional assumption that $\\Lambda$ is self-injective that $R(\\Lambda,V)$ is universal. In this paper, we prove instead that if $\\Lambda$ is arbitrary but $V$ is Gorenstein-projective then $R(\\Lambda,V)$ is also"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05230","kind":"arxiv","version":4},"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"}