### Universally Image Partition Regularity

#### ##article.abstract##

Many of the classical results of Ramsey Theory, for example Schur's Theorem, van der Waerden's Theorem, Finite Sums Theorem, are naturally stated in terms of *image partition regularity* of matrices. Many characterizations are known of image partition regularity over ${\Bbb N}$ and other subsemigroups of $({\Bbb R},+)$. In this paper we introduce a new notion which we call *universally image partition regular matrices*, which are in fact image partition regular over all semigroups and everywhere. We also prove that such matrices exist in abundance.