Subalgebra.algebraicClosure

(R : Type u_1) →
  (S : Type u_2) → [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → [IsDomain R] → Subalgebra R S

If R is a domain and S is an arbitrary R-algebra, then the elements of S that are algebraic over R form a subalgebra.

Defined in: Mathlib.RingTheory.Algebraic.Integral
Cited by: 8 results in Mathlib
Foundations: Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra IsDomain

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