Commit 2025-11-05 09:57 241eb4c2
View on Github →feat(DedekindDomain): lift a basis in a disjoint extension when the different ideals are coprime (#29885)
Let A ⊆ B be a finite extension of Dedekind domains and assume that A ⊆ R₁, R₂ ⊆ B are two
subrings such that Frac R₁ ⊔ Frac R₂ = Frac B, Frac R₁ and Frac R₂ are linearly disjoint
over Frac A, and that 𝓓(R₁/A) and 𝓓(R₂/A) are coprime where 𝓓 denotes the different ideal
and Frac R denotes the fraction field of a domain R.
This PR constructs a R₁-basis of B by lifting an A-basis of R₂.