Theorems · Definition · ring theory
MonoidAlgebra.mapRangeAddEquiv
Deprecated since 2026-03-20Use MonoidAlgebra.mapAddEquiv instead.
{R : Type u_3} →
{S : Type u_4} →
(M : Type u_6) →
[inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : Mul M] → R ≃+ S → MonoidAlgebra R M ≃+ MonoidAlgebra S MAlias of MonoidAlgebra.mapAddEquiv.
Additively isomorphic rings have additively isomorphic monoid algebras.
MonoidAlgebra.map as an AddEquiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.mapAddEquivproof · cited by 12
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