Commit 2024-05-13 15:49 de055554
View on Github →feat(RingTheory.DedekindDomain.Factorization): add factorization of fractional ideals (#7778)
We show that every nonzero fractional ideal I
of a Dedekind domain R
can be factored as a finprod ∏_v v^{n_v}
over the maximal ideals of R
, where the exponents n_v
are integers. We define FractionalIdeal.count K v I
to be n_v
, and we prove some of its properties.