Montaner, FernandoPaniello Alastruey, Irene2024-04-162024-04-162024Montaner, F., Paniello, I. (2024) Jordan 3-graded Lie algebras with polynomial identities. Journal of Pure and Applied Algebra, 228(4), 1-18. https://doi.org/10.1016/j.jpaa.2023.107543.0022-404910.1016/j.jpaa.2023.107543https://academica-e.unavarra.es/handle/2454/47987We study Jordan 3-graded Lie algebras satisfying 3-graded polynomial identities. Taking advantage of the Tits-Kantor-Koecher construction, we interpret the PI-condition in terms of their associated Jordan pairs, which allows us to formulate an analogue of Posner-Rowen Theorem for strongly prime PI Jordan 3-graded Lie algebras. Arbitrary PI Jordan 3-graded Lie algebras are also described by introducing the Kostrikin radical of the Lie algebras.application/pdfeng© 2024 The Authors. This is an open access article under the CC BY-NC license.Central closureJordan Lie algebraPolynomial identityTKK-constructioninfo:eu-repo/semantics/article2024-04-16info:eu-repo/semantics/openAccess