Prime Jordan algebras and the Kantor construction
The author constructs two new examples of prime Jordan algebras with nonzero absolute zero divisors. Both of them are zero components of the Kantor construction [see \textit{D. King} and \textit{K. McCrimmon}, Commun. Algebra 20, 109-126 (1992; Zbl 0743.17030)]. It is proved also that a Jordan superalgebra of Poisson brackets is a homomorphic image of a special Jordan algebra. This result was obtained independently in the paper of \textit{I. P. Shestakov} [Algebra Logic 32, No. 5, 309-317 (1993); translation from Algebra Logica 32, No. 5, 571-584 (1993; see Zbl 0826.17013)].
scientific article; zbMATH DE number 767662