Theorems · Definition · commutative algebra

Algebra.PreSubmersivePresentation.basis

{R : Type u} →
  {S : Type v} →
    {ι : Type w} →
      {σ : Type t} →
        [inst : CommRing R] →
          [inst_1 : CommRing S] →
            [inst_2 : Algebra R S] →
              (P : Algebra.PreSubmersivePresentation R S ι σ) → [Finite σ] → Module.Basis σ P.Ring (σ → P.Ring)

The standard basis of σ → P.ring.

Defined in

Mathlib.RingTheory.Extension.Presentation.Submersive

Cited by

2 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraFinite