MonoidAlgebra.finiteType_iff_fg

∀ {R : Type u_1} {M : Type u_2} [inst : Monoid M] [inst_1 : CommRing R] [Nontrivial R],
  Algebra.FiniteType R (MonoidAlgebra R M) ↔ Monoid.FG M

A monoid M is finitely generated if and only if R[M] is of finite type.

Defined in: Mathlib.RingTheory.FiniteType
Cited by: 2 results in Mathlib
Foundations: Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Monoid CommRing Nontrivial

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