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Theorems · Definition · group theory

Algebra.GrothendieckGroup

(M : Type u_1) → [CommMonoid M] → Type u_1

The Grothendieck group of a monoid M is the localization at its top submonoid.

Defined in
Mathlib.GroupTheory.MonoidLocalization.GrothendieckGroup
Cited by
3 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Assumes
CommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Algebra.GrothendieckGroup.of · cited by 2GrothendieckGroup.ofAlgebra.GrothendieckGroup.lift · cited by 2GrothendieckGroup.liftAlgebra.GrothendieckGroup.lift_apply · cited by 0GrothendieckGroup.lift_ap…Algebra.GrothendieckGroup.lift_symm_apply · cited by 0GrothendieckGroup.lift_sy…Algebra.GrothendieckGroup.of_injective · cited by 0GrothendieckGroup.of_inje…Top.top · cited by 9680Top.topCommMonoid · cited by 2264CommMonoidLocalization · cited by 270LocalizationAlgebra.GrothendieckGroupCITED BYCITES

Cites3

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Cited by5

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