Local parameter
In commutative algebra, a local parameter for the discrete valuation ring (R,m) is an element which generates the maximal ideal m. They can be characterized either by means of divisibility (as an irreducible element of R) or by using the discrete valuation defined in the field of fractions of R. Terms such as uniformizing parameter or just uniformizer are also found in the litterature [1].
Definition
Let (R,m) be a discrete valuation ring
See also
- ^ J. H. Silverman (1986). The arithmetic of elliptic curves. Springer. pp. 22.