Commit 2022-05-09 11:25 ad244dd7
View on Github →feat(ring_theory/dedekind_domain/adic_valuation): extend valuation (#13462)
We extend the v
-adic valuation on a Dedekind domain R
to its field of fractions K
and prove some basic properties. We define the completion of K
with respect to this valuation, as well as its ring of integers, and provide some topological instances.