Theorems · Theorem · commutative algebra
Subalgebra.fg_of_fg_map
∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Semiring B] [inst_4 : Algebra R B] (S : Subalgebra R A) (f : A →ₐ[R] B),
Function.Injective ⇑f → (Subalgebra.map f S).FG → S.FG- Defined in
- Mathlib.RingTheory.Adjoin.FG
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgHomstatement and proof · cited by 3,236
- Subalgebrastatement and proof · cited by 1,353
- Algebra.adjoinproof · cited by 535
Cited by1
Results whose statement or proof uses this declaration.
- Subalgebra.fg_topproof · cited by 4