Theorems · Definition · commutative algebra

Algebra.Generators.algebra

{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 (MvPolynomial ι R) S

An R[X]-algebra instance on S. The default is the one induced by the map R[X] → S, but this causes a diamond if there is an existing instance.

Defined in

Mathlib.RingTheory.Extension.Generators

Cited by

9 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra