Theorems · Definition · commutative algebra

KaehlerDifferential.map

(R : Type u) →
  (S : Type v) →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        [inst_2 : Algebra R S] →
          (A : Type u_2) →
            (B : Type u_3) →
              [inst_3 : CommRing A] →
                [inst_4 : CommRing B] →
                  [inst_5 : Algebra R A] →
                    [inst_6 : Algebra A B] →
                      [inst_7 : Algebra S B] →
                        [inst_8 : Algebra R B] →
                          [IsScalarTower R A B] →
                            [IsScalarTower R S B] → [inst_11 : SMulCommClass S A B] → Ω[A⁄R] →ₗ[A] Ω[B⁄S]

The map Ω[A⁄R] →ₗ[A] Ω[B⁄S] given a square `` A --→ B ↑ ↑ | | R --→ S ``

Defined in

Mathlib.RingTheory.Kaehler.Basic

Cited by

33 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingCommRingAlgebraAlgebraAlgebraAlgebraIsScalarTowerIsScalarTowerSMulCommClass