In mathematics, a system of parameters for a local Noetherian ring of Krull dimension d with maximal ideal m is a set of elements x1, ..., xd that satisfies any of the following equivalent conditions:m is a minimal prime over (x1, ..., xd). The radical of (x1, ..., xd) is m. Some power of m is contained in (x1, ..., xd). (x1, ..., xd) is m-primary. R/(x1, ..., xd) is an Artinian ring.