5 papers · 1 filter
Jordan 3-graded Lie algebras with polynomial identities
Fernando Montaner, Irene Paniello
We 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…
Continuous Evolution Algebras
Fernando Montaner, Irene Paniello
We formulate the notion of continuous evolution algebra in terms of differentiable matrix-valued functions, to then study those such algebras arising as solutions of ODE problems.…
The ideal of Lesieur-Croisot elements of Jordan pairs
Fernando Montaner, Irene Paniello
We 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 capac…
PI theory for Associative Pairs
F. Montaner, I. Paniello
We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of P…
Local orders in Jordan algebras
F. Montaner, I. Paniello
We study a notion of order in Jordan algebras based on the version for Jordan algebras of the ideas of Fountain and Gould as adapted to the Jordan context by Fernández-López and Ga…