Local orders in Jordan algebras
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 García Rus, making use of
results on general algebras of quotients of Jordan algebras.
In particular, we extend to quadratic Jordan algebras the results of
Fernández López and García Rus on local orders in nondegenerate
Jordan algebras satisfying the descending chain condition on principal inner
ideals and not containing ideals which are nonartinian quadratic factors.
F. Montaner < fmontane@unizar.es >
I. Paniello < irene.paniello@unavarra.es >