{"paper":{"title":"On the associated prime ideals of local cohomology modules defined by a pair of ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Kh. Ahmadi Amoli, M. Jahangiri, Z. Habibi","submitted_at":"2015-02-17T17:53:36Z","abstract_excerpt":"Let $I$ and $J$ be two ideals of a commutative Noetherian ring $R$ and $M$ be an $R$-module. For a non-negative integer $n$ it is shown that, if the sets $\\Ass_R(\\Ext^{n} _{R}(R/I,M))$ and $\\Supp_R(\\Ext^{i}_{R}(R/I,H^{j}_{I,J} (M)))$ are finite for all $i \\leq n+1$ and all $j< n$, then so is \\linebreak$\\Ass_R(\\Hom_{R}(R/I,H^{n}_{I,J}(M)))$. We also study the finiteness of $\\Ass_R(\\Ext^{i}_{R}(R/I,H^{n}_{I,J} (M)))$ for $i=1,2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04978","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"}