Theorems · Theorem · algebraic geometry

PrimeSpectrum.isOpenMap_comap_algebraMap_tensorProduct_of_field

∀ {K : Type u_3} {A : Type u_4} {B : Type u_5} [inst : Field K] [inst_1 : CommRing A] [inst_2 : CommRing B]
  [inst_3 : Algebra K A] [inst_4 : Algebra K B], IsOpenMap (PrimeSpectrum.comap (algebraMap A (TensorProduct K A B)))

[Stacks Tag 037G](https://stacks.math.columbia.edu/tag/037G)

Defined in

Mathlib.RingTheory.Spectrum.Prime.Chevalley

Cited by

0 results in Mathlib

Foundations

Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldCommRingCommRingAlgebraAlgebra