Theorems · Definition · ring theory
AddMonoidAlgebra.of
(R : Type u_8) → (M : Type u_9) → [inst : Semiring R] → [inst_1 : AddZeroClass M] → Multiplicative M →* AddMonoidAlgebra R M
Embedding of a magma with zero into its magma algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MonoidHomstatement · cited by 3,629
- AddZeroClassstatement and proof · cited by 1,237
- Multiplicativestatement and proof · cited by 875
- AddMonoidAlgebrastatement and proof · cited by 649
- MulHomproof · cited by 299
- MulHom.toFunproof · cited by 36
- AddMonoidAlgebra.ofMagmaproof · cited by 4
Cited by22
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.liftproof · cited by 10
- AddMonoidAlgebra.ringHom_ext'statement and proof · cited by 5
- AddMonoidAlgebra.induction_onstatement and proof · cited by 2
- AddMonoidAlgebra.algHom_ext'statement and proof · cited by 2
- AddMonoidAlgebra.rTensorEquivAlgEquiv.invFunproof · cited by 2
- MvPolynomial.monomialOneHomproof · cited by 2
- AddMonoidAlgebra.of_applystatement · cited by 2
- AddMonoidAlgebra.of_injectivestatement and proof · cited by 1
- AddMonoidAlgebra.lift_ofstatement · cited by 1
- AddMonoidAlgebra.lift_unique'statement · cited by 1
- AddMonoidAlgebra.of'_eq_ofstatement · cited by 1
- AddMonoidAlgebra.rTensorEquivAlgEquiv.invFun_tmulproof · cited by 1