Eater ideals in Jordan algebras Original Research Article

In this paper we study the relationship of several ideals of the free special Jordan algebra. In particular, we show that the ideal of heartyn-tad eaters coincides with that of imbeddedn-tad eaters over an arbitrary ring of scalars. In the linear case, we show that they coincide with the ideal ofn-tad eaters. The distance between the different eater submodules and their cores is also studied.