{"paper":{"title":"Gorenstein flat modules with respect to duality pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Gang Yang, Zhanping Wang","submitted_at":"2018-02-14T16:40:52Z","abstract_excerpt":"Let $\\mathcal{X}$ be a class of left $R$-modules, $\\mathcal{Y}$ be a class of right $R$-modules. In this paper, we introduce and study Gorenstein $(\\mathcal{X}, \\mathcal{Y})$-flat modules as a common generalization of some known modules such as Gorenstein flat modules \\cite{EJT93}, Gorenstein $n$-flat modules \\cite{SUU14}, Gorenstein $\\mathcal{B}$-flat modules \\cite{EIP17}, Gorenstein AC-flat modules \\cite{BEI17}, $\\Omega$-Gorenstein flat modules \\cite{EJ00} and so on. We show that the class of all Gorenstein $(\\mathcal{X}, \\mathcal{Y})$-flat modules have a strong stability. In particular, whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05197","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"}