Theorems · Inductive type · commutative algebra
Algebra.WeaklyEtale
(R : Type u_3) → (S : Type u_4) → [inst : CommRing R] → [inst_1 : CommRing S] → [Algebra R S] → Prop
S is a weakly-étale R-algebra if both R → S and S ⊗[R] S → R are flat.
This is also called absolutely flat.
- Defined in
- Mathlib.RingTheory.Etale.Weakly
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by6
Results whose statement or proof uses this declaration.
- Algebra.WeaklyEtale.casesOnstatement and proof · cited by 1
- Algebra.WeaklyEtale.flat_lmul'statement and proof · cited by 1
- Algebra.WeaklyEtale.ulift_iffstatement and proof · cited by 1
- Algebra.weaklyEtale_iffstatement and proof · cited by 1
- Algebra.WeaklyEtale.recOnstatement and proof · cited by 0
- Algebra.WeaklyEtale.transstatement and proof · cited by 0