{"paper":{"title":"A construction of Hom-Yetter-Drinfeld category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Haiying Li, Tianshui Ma","submitted_at":"2016-04-11T13:48:53Z","abstract_excerpt":"In continuation of our recent work about smash product Hom-Hopf algebras in \\cite{MLY}, we introduce Hom-Yetter-Drinfeld category $_H^H{\\mathbb{YD}}$ via Radford biproduct Hom-Hopf algebra, and prove that the Hom-Yetter-Drinfeld modules can provide solutions of the Hom-Yang-Baxter equation and $_H^H{\\mathbb{YD}}$ is a pre-braided tensor category, where $(H, \\b, S)$ is a Hom-Hopf algebra. Furthermore, we obtain that $(A^{\\natural}_{\\diamond} H,\\a\\o \\b)$ is a Radford biproduct Hom-Hopf algebra if and only if $(A,\\a)$ is a Hopf algebra in the category $_H^H{\\mathbb{YD}}$. At last, some examples a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02954","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"}