%0 Journal Article %T Yang-Baxter Systems, Algebra Factorizations and Braided Categories %A Florin F. Nichita %J Axioms %D 2013 %I MDPI AG %R 10.3390/axioms2030437 %X The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter¡¯s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. After a short review on this equation and the Yang-Baxter systems, we consider the problem of constructing algebra factorizations from Yang-Baxter systems. Our sketch of proof uses braided categories. Other problems are also proposed. %K Yang-Baxter system %K algebra factorization %K braided category %U http://www.mdpi.com/2075-1680/2/3/437