Theorems · Theorem · commutative algebra

Module.Presentation.tensor_R

∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]
  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂),
  (pres₁.tensor pres₂).R = (pres₁.R × pres₂.G ⊕ pres₁.G × pres₂.R)

Defined in

Mathlib.Algebra.Module.Presentation.Tensor

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupAddCommGroupModuleModule