Theorems · Definition · ring theory
SkewMonoidAlgebra.of
(k : Type u_1) →
(G : Type u_2) →
[inst : Semiring k] → [inst_1 : Monoid G] → [inst_2 : MulSemiringAction G k] → G →* SkewMonoidAlgebra k GThe embedding of a monoid into its skew monoid algebra.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- MulSemiringActionstatement and proof · cited by 423
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singleproof · cited by 83
Cited by17
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.liftproof · cited by 7
- SkewMonoidAlgebra.of_applystatement · cited by 7
- SkewMonoidAlgebra.nonUnitalAlgHom_ext'statement and proof · cited by 1
- SkewMonoidAlgebra.algHom_ext'statement and proof · cited by 1
- SkewMonoidAlgebra.ringHom_ext'statement and proof · cited by 1
- SkewMonoidAlgebra.lift_unique'statement · cited by 1
- SkewMonoidAlgebra.nonUnitalAlgHom_ext'_iffstatement and proof · cited by 0
- SkewMonoidAlgebra.of_injectivestatement and proof · cited by 0
- SkewMonoidAlgebra.algHom_ext'_iffstatement and proof · cited by 0
- SkewMonoidAlgebra.lift_ofstatement · cited by 0
- SkewMonoidAlgebra.ringHom_ext'_iffstatement and proof · cited by 0
- SkewMonoidAlgebra.lift_uniqueproof · cited by 0