{"paper":{"title":"Random Models of Idempotent Linear Maltsev Conditions. I. Idemprimality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.LO","authors_text":"Agnes Szendrei, Clifford Bergman","submitted_at":"2019-01-18T16:01:35Z","abstract_excerpt":"We extend a well-known theorem of Murski\\v{\\i} to the probability space of finite models of a system $\\mathcal{M}$ of identities of a strong idempotent linear Maltsev condition. We characterize the models of $\\mathcal{M}$ in a way that can be easily turned into an algorithm for producing random finite models of $\\mathcal{M}$, and we prove that under mild restrictions on $\\mathcal{M}$, a random finite model of $\\mathcal{M}$ is almost surely idemprimal. This implies that even if such an $\\mathcal{M}$ is distinguishable from another idempotent linear Maltsev condition by a finite model $\\mathbf{A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06316","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"}