Theorems · Theorem · ring theory
Subalgebra.center_toSubring
∀ (R : Type u_1) (A : Type u_2) [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A], (Subalgebra.center R A).toSubring = Subring.center A
- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Ringstatement and proof · cited by 7,463
- Subringstatement · cited by 602
- Subalgebra.toSubringstatement · cited by 30
- Subring.centerstatement · cited by 28
- Subalgebra.centerstatement · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- JacobsonNoether.exists_separable_and_not_isCentral'proof · cited by 0