Combining extensions of the Hales-Jewett\\ Theorem with Ramsey Theory\\ in other structures

Neil Hindman, Dona Strauss, Luca Q. Zamboni

The Hales-Jewett Theorem states that given any finite nonempty set $\A$ and any finite coloring of the free semigroup $S$ over the alphabet $\A$ there is a {\it variable word\/} ov…