Theorems · Definition · commutative algebra

Algebra.Generators.toExtension

{R : Type u} →
  {S : Type v} →
    {ι : Type w} →
      [inst : CommRing R] →
        [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Algebra.Generators R S ι → Algebra.Extension R S

The extension R[X₁,...,Xₙ] → S given a family of generators.

Defined in

Mathlib.RingTheory.Extension.Generators

Cited by

103 results in Mathlib

Foundations

Depth 98 from the axioms, rests on 2,387 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra