  Non-associtive algebras is a research direction gaining much attention these
days. New developments show that associative algebras and some not-associative
structures can be unified at the level of Yang-Baxter structures. In this
paper, we present a unification for associative algebras, Jordan algebras and
Lie algebras. The (quantum) Yang-Baxter equation and related structures are
interesting topics, because they have applications in many areas of
mathematics, physics and computer science. Several new interpretations and
results are presented below.
