In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
@article{urn:eudml:doc:41735, title = {On annihilators in Jordan algebras.}, journal = {Publicacions Matem\`atiques}, volume = {36}, year = {1992}, pages = {569-589}, mrnumber = {MR1209824}, zbl = {0780.17034}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41735} }
Fernández López, Antonio. On annihilators in Jordan algebras.. Publicacions Matemàtiques, Tome 36 (1992) pp. 569-589. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41735/