Theorems · Theorem · ring theory
Algebra.IsCentral.out
∀ {K : Type u} {inst : CommSemiring K} {D : Type v} {inst_1 : Semiring D} {inst_2 : Algebra K D}
[self : Algebra.IsCentral K D], Subalgebra.center K D ≤ ⊥- Defined in
- Mathlib.Algebra.Central.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Algebra.IsCentral
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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Bot.botstatement · cited by 4,720
- Subalgebrastatement · cited by 1,353
- Subalgebra.centerstatement · cited by 24
- Algebra.IsCentralstatement and proof · cited by 17
Cited by4
Results whose statement or proof uses this declaration.
- Algebra.IsCentral.center_eq_botproof · cited by 8
- Algebra.IsCentral.left_of_tensorproof · cited by 2
- Algebra.IsCentral.of_algEquivproof · cited by 1
- JacobsonNoether.exists_separable_and_not_isCentral'proof · cited by 0