Theorems · Theorem · commutative algebra
IsLocalization.comap_map_of_isPrimary_disjoint
Deprecated since 2026-04-09Use IsLocalization.under_map_of_isPrimary_disjoint instead.
∀ {R : Type u_1} [inst : CommSemiring R] (M : Submonoid R) (S : Type u_2) [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] [IsLocalization M S] {I : Ideal R},
I.IsPrimary → Disjoint ↑M ↑I → Ideal.under R (Ideal.map (algebraMap R S) I) = IAlias of IsLocalization.under_map_of_isPrimary_disjoint.
- Defined in
- Mathlib.RingTheory.Localization.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Algebrastatement · cited by 11,388
- CommSemiringstatement · cited by 10,911
- RingHomstatement · cited by 10,189
- SetLike.coestatement · cited by 8,199
- Idealstatement · cited by 4,748
- Algebra.algebraMapstatement · cited by 4,706
- Submonoidstatement · cited by 3,086
- Disjointstatement · cited by 2,201
- Ideal.mapstatement · cited by 692
- IsLocalizationstatement · cited by 636
- Ideal.understatement · cited by 170
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