Montaner, FernandoPaniello Alastruey, Irene2023-08-242024-04-242023Montaner, F., & Paniello, I. (2023). The ideal of Lesieur-Croisot elements of Jordan pairs. Communications in Algebra, 51(9), 4091-4104. https://doi.org/10.1080/00927872.2023.21970690092-787210.1080/00927872.2023.2197069https://academica-e.unavarra.es/handle/2454/46016We study the sets of elements of Jordan pairs whose local Jordan algebras are Lesieur-Croisot algebras, that is, classical orders in nondegenerate Jordan algebras with finite capacity. It is then proved that, if the Jordan pair is nondegenerate, the set of its Lesieur-Croisot elements is an ideal of the Jordan pair.application/pdfeng© 2023 Taylor & Francis Group, LLC.Classical orderJordan pairLocal algebraNonsingularityinfo:eu-repo/semantics/article2023-08-24info:eu-repo/semantics/openAccess