Theorems · Definition · commutative algebra

Subalgebra.FG

{R : Type u} →
  {A : Type v} → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → Subalgebra R A → Prop

A subalgebra S is finitely generated if there exists t : Finset A such that Algebra.adjoin R t = S.

Defined in

Mathlib.RingTheory.Adjoin.FG

Cited by

45 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra