Theorems · Definition · group theory
Algebra.GrothendieckAddGroup
(M : Type u_1) → [AddCommMonoid M] → Type u_1
The Grothendieck group of an additive monoid M is the localization at its top submonoid.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Top.topproof · cited by 9,680
- AddLocalizationproof · cited by 38
Cited by6
Results whose statement or proof uses this declaration.
- Algebra.GrothendieckAddGroup.liftstatement and proof · cited by 2
- Algebra.GrothendieckAddGroup.ofstatement · cited by 2
- AffineAddMonoid.dimproof · cited by 1
- Algebra.GrothendieckAddGroup.lift_applystatement and proof · cited by 0
- Algebra.GrothendieckAddGroup.lift_symm_applystatement and proof · cited by 0
- Algebra.GrothendieckAddGroup.of_injectivestatement · cited by 0