Theorems · Definition · commutative algebra
completeIntegralClosure
(R : Type u_1) → (S : Type u_2) → [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Subalgebra R S
The complete integral closure is the subalgebra of almost integral elements.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Set.ofPredproof · cited by 6,101
- Subalgebrastatement · cited by 1,353
- IsAlmostIntegralproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- mem_completeIntegralClosurestatement · cited by 1
- integralClosure_le_completeIntegralClosurestatement · cited by 0
- completeIntegralClosure_eq_integralClosurestatement · cited by 0
- IsAlmostIntegral.coeffproof · cited by 0