English Dictionary

discrete valuation

noun

(algebra, field theory) A valuation (on some field) that takes integer values (including infinity).

A discrete valuation is a function that assigns a nonnegative integer to each nonzero element of a ring.

意味（1）

(algebra, field theory) A valuation (on some field) that takes integer values (including infinity).

Therefore the theory branches in two essential parts : first the study of discrete valuations of the Weyl field D_1(K) extending a discrete valuation of K, secondly the discrete valuations of D_1(K) having the purely transcendental field K(t) as a residue field.