Jordan s-identities in three variables

TL;DR

This paper proves that all Jordan s-identities involving three variables are derivable from the known identities established by Glennie, simplifying the understanding of these algebraic structures.

Contribution

It establishes that Glennie's s-identities generate all Jordan s-identities in three variables, providing a complete characterization.

Findings

All three-variable Jordan s-identities follow from Glennie's identities.

Simplification of the algebraic structure of Jordan identities.

Enhanced understanding of identities in Jordan algebras.

Abstract

It is proved that all Jordan s-identities of the three variables are consequences of s-identities Glennie.