{"paper":{"title":"Some notes on Gorenstein projective modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jian Wang","submitted_at":"2014-01-16T13:19:21Z","abstract_excerpt":"Let $R$ be a ring. It is proved that $(\\mathcal{GP}(R), \\mathcal{GP}(R)^\\bot)$ is a complete hereditary cotorsion pair, where $\\mathcal{GP}(R)$ denotes the class of the Gorenstein projective left $R$-modules. Then we get that each left $R$-module has a special Gorenstein projective precover. As an application, we prove that all Gorenstein projective left $R$-modules are Gorenstein flat over left noetherian rings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4015","kind":"arxiv","version":3},"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"}