Commit 2021-09-02 08:19 9d3e3e8a
View on Github →feat(ring_theory/dedekind_domain): the integral closure of a DD is a DD (#8847)
Let L
be a finite separable extension of K = Frac(A)
, where A
is a Dedekind domain. Then any is_integral_closure C A L
is also a Dedekind domain, in particular for C := integral_closure A L
.
In combination with the definitions of #8701, we can conclude that rings of integers are Dedekind domains.