Theorems · Definition · commutative algebra

ClassGroup.mk

{R : Type u_1} →
  (K : Type u_2) →
    [inst : CommRing R] →
      [inst_1 : Field K] →
        [inst_2 : Algebra R K] →
          [IsFractionRing R K] → [inst_4 : IsDomain R] → (FractionalIdeal (nonZeroDivisors R) K)ˣ →* ClassGroup R

Send a nonzero fractional ideal to the corresponding class in the class group.

Defined in

Mathlib.RingTheory.ClassGroup.Basic

Cited by

22 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingFieldAlgebraIsFractionRingIsDomain