Theorems · Definition · commutative algebra

Submodule.baseChangeOrderEmbedding

(R : Type u_1) →
  (M : Type u_2) →
    (A : Type u_3) →
      [inst : CommRing R] →
        [inst_1 : Ring A] →
          [inst_2 : Algebra R A] →
            [Module.FaithfullyFlat R A] →
              [inst_4 : AddCommGroup M] → [inst_5 : Module R M] → Submodule R M ↪o Submodule A (TensorProduct R A M)

Submodule.baseChange as an order embedding.

Defined in

Mathlib.RingTheory.Flat.FaithfullyFlat.Basic

Cited by

3 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebraModule.FaithfullyFlatAddCommGroupModule