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García, Esther Gómez-Lozano, Miguel Ángel Muñoz-Alcázar, Rubén José 2024-10-25T06:40:58Z 2024-10-25T06:40:58Z 2022 https://hdl.handle.net/10630/34899 10.1007/978-981-19-4751-3 For any abelian inner ideal B of a Lie algebra L such that [B, KerB]^n ⊆ B for some natural n, we build a bounded filtration whose first nonzero term is B and the extremes of the induced Z-graded Lie algebra coincide with the subquotient (B, L/KerB). Thanks to this fi ltration, we can prove that when a Lie algebra L is strongly prime and KerB is not a subalgebra of L, then subquotient (B, L=KerB) is a special strongly prime Jordan pair. eng open access Álgebras de Lie Categorías (Matemáticas) A filtration associated to an abelian inner ideal and the speciality of the subquotient of a Lie algebra. book part