Generalized operator Yang-Baxter equations, integrable ODEs and   nonassociative algebras
  Reductions for systems of ODEs integrable via the standard factorization method (the Adler-Kostant-Symes scheme) or the generalized factorization method, developed by the authors earlier, are considered. Relationships between such reductions, operator Yang-Baxter equations, and some kinds of non-associative algebras are established. 
Igor Z. Golubchik, Vladimir V. Sokolov