{"paper":{"title":"Galois structure on integral valued polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.NT","authors_text":"Bahar Heidaryan, Giulio Peruginelli, Matteo Longo","submitted_at":"2015-11-04T11:24:53Z","abstract_excerpt":"We characterize finite Galois extensions $K$ of the field of rational numbers in terms of the rings ${\\rm Int}_{\\mathbb{Q}}(\\mathcal O_K)$, recently introduced by Loper and Werner, consisting of those polynomials which have coefficients in $\\mathbb{Q}$ and such that $f(\\mathcal O_K)$ is contained in $\\mathcal O_K$. We also address the problem of constructing a basis for ${\\rm Int}_{\\mathbb{Q}}(\\mathcal O_K)$ as a $\\mathbb{Z}$-module."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01295","kind":"arxiv","version":2},"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"}