{"paper":{"title":"Biderivations and triple homomorphisms on perfect Jordan algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Chenrui Yao, Liangyun Chen, Yao Ma","submitted_at":"2018-11-10T00:34:36Z","abstract_excerpt":"In this paper, we mainly study a class of biderivations and triple homomorphisms on perfect Jordan algebras. Let $J$ be a Jordan algebra and $\\delta :J \\times J \\rightarrow J$ a symmetric biderivation satisfying $\\delta(w , u \\circ v) = w \\cdot \\delta(u , v), \\forall u,v,w \\in J$. If $J$ is perfect and satisfies $Z(J) = \\{0\\}$, then $\\delta$ is of the form $\\delta(x , y) = \\gamma(x \\circ y)$ for all $x , y \\in J$, where $\\gamma \\in Cent(J)$ satisfying $z \\cdot \\gamma(x \\circ y) = x \\cdot \\gamma(y \\circ z) + y \\cdot \\gamma(x \\circ z), \\forall x , y , z \\in J$. This is the special case of our ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05315","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"}