{"paper":{"title":"When are the Rees algebras of parameter ideals almost Gorenstein graded rings?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Hoang Le Truong, Naoki Taniguchi, Rahimi Mehran, Shiro Goto","submitted_at":"2016-02-03T17:29:49Z","abstract_excerpt":"Let $A$ be a Cohen-Macaulay local ring with $\\operatorname{dim} A = d\\ge 3$, possessing the canonical module ${\\mathrm K}_A$. Let $a_1, a_2, \\ldots, a_r$ $(3 \\le r \\le d)$ be a subsystem of parameters of $A$ and set $Q= (a_1, a_2, \\ldots, a_r)$. It is shown that if the Rees algebra ${\\mathcal R}(Q)$ of $Q$ is an almost Gorenstein graded ring, then $A$ is a regular local ring and $a_1, a_2, \\ldots, a_r$ is a part of a regular system of parameters of $A$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01378","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"}