{"paper":{"title":"Regularity of Tor for weakly stable ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Katie Ansaldi, Luigi Ferraro, Nicholas Clarke","submitted_at":"2015-04-18T13:50:18Z","abstract_excerpt":"It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R=k[x_1,\\ldots,x_n]$, with $k$ a field, then the regularity of $\\text{Tor}^R_i(R/I,R/J)$ has the expected upper bound. We also give a bound for the regularity of $\\text{Ext}_R^i(R/I,R)$ for $I$ a weakly stable ideal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04718","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"}