Theorems · Definition · ring theory
OreLocalization
{R : Type u_1} →
[inst : Monoid R] →
(S : Submonoid R) → [OreLocalization.OreSet S] → (X : Type u_2) → [MulAction R X] → Type (max u_1 u_2)The Ore localization of a monoid and a submonoid fulfilling the Ore condition.
- Cited by
- 90 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement and proof · cited by 3,086
- MulActionstatement and proof · cited by 1,294
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalization.oreEqvproof · cited by 2
Cited by115
Results whose statement or proof uses this declaration.
- Localizationproof · cited by 270
- LocalizedModuleproof · cited by 154
- OreLocalization.oreDivstatement · cited by 72
- OreLocalization.indstatement and proof · cited by 18
- LocalizedModule.smul'_mkproof · cited by 13
- OreLocalization.one_defstatement · cited by 10
- OreLocalization.oreDiv_eq_iffstatement · cited by 9
- OreLocalization.numeratorHomstatement · cited by 8
- OreLocalization.oreDiv_mul_charstatement · cited by 8
- OreLocalization.oreDiv_smul_charstatement · cited by 8
- OreLocalization.zero_oreDivstatement and proof · cited by 8
- OreLocalization.zero_defstatement · cited by 6