Commit 2026-03-25 17:09 36653f09
View on Github →feat(RingTheory/Localization/Integral): generalize IsFractionRing.integerNormalization_eq_zero_iff (#37003)
We prove
IsLocalization.integerNormalization_eq_zero_iff {R S : Type *} [CommRing R] {M : Submonoid R}
[CommRing S] [Algebra R S] [IsLocalization M S] [IsDomain R] (hM : M ≤ nonZeroDivisors R) (p : S[X]) :
integerNormalization M p = 0 ↔ p = 0
which generalizes the current
IsFractionRing.integerNormalization_eq_zero_iff.