By Vitaly Bergelson, Neil Hindman and Kendall Williams. Author-hosted primary manuscript: people.math.osu.edu/bergelson.1/BHW_PolynomialMT.pdf
Definition1.5 and Theorem1.6 specify the positive-coefficient separated-block systems and their monochromatic sum subsystems; Theorem1.4 states the underlying Milliken-Taylor theorem.