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Theorems · Definition · ring theory

MonoidAlgebra.bialgEquivOfSubsingleton

{R : Type u_1} →
  (M : Type u_8) → [inst : CommSemiring R] → [inst_1 : Monoid M] → [Subsingleton M] → MonoidAlgebra R M ≃ₐc[R] R

The trivial monoid algebra is isomorphic to the base ring.

Defined in
Mathlib.RingTheory.Bialgebra.MonoidAlgebra
Cited by
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Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringMonoidSubsingleton

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