[Merged by Bors] - feat: a finite monoid algebra is a finite module

[YaelDillies]

From Toric

---

[github-actions]

PR summary 488d3b8ee3

Import changes for modified files

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File	Base Count	Head Count	Change
Mathlib.RingTheory.Finiteness.Finsupp	1035	1045	+10 (+0.97%)

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4 files Mathlib.FieldTheory.AxGrothendieck Mathlib.GroupTheory.FreeGroup.GeneratorEquiv Mathlib.ModelTheory.Algebra.Field.IsAlgClosed Mathlib.ModelTheory.Algebra.Ring.Definability	1
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Mathlib.RingTheory.WittVector.MulP Mathlib.RingTheory.WittVector.StructurePolynomial Mathlib.RingTheory.WittVector.Teichmuller Mathlib.RingTheory.WittVector.Truncated Mathlib.RingTheory.WittVector.Verschiebung Mathlib.RingTheory.ZMod.UnitsCyclic Mathlib.Tactic.NormNum.Irrational Mathlib.Tactic.ReduceModChar Mathlib.Topology.Algebra.Module.Determinant Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Topology.Algebra.Ring.Compact Mathlib.Topology.CWComplex.Abstract.Basic Mathlib.Topology.Category.TopCat.Sphere Mathlib.Topology.Compactification.OnePoint.Sphere Mathlib.Topology.Instances.AddCircle.DenseSubgroup Mathlib.Topology.Instances.Complex Mathlib.Topology.Instances.Irrational Mathlib.Topology.Instances.Matrix Mathlib.Topology.Instances.RatLemmas Mathlib.Topology.MetricSpace.HausdorffDimension	5
11 files Mathlib.Analysis.Convex.Side Mathlib.Analysis.Convex.StrictConvexBetween Mathlib.Data.Complex.FiniteDimensional Mathlib.LinearAlgebra.Dimension.Torsion.Basic Mathlib.LinearAlgebra.Dimension.Torsion.Finite Mathlib.LinearAlgebra.FreeModule.Int Mathlib.LinearAlgebra.FreeModule.ModN Mathlib.LinearAlgebra.Projectivization.Cardinality Mathlib.LinearAlgebra.Projectivization.Constructions Mathlib.Topology.Category.Profinite.Nobeling.Induction Mathlib.Topology.Category.Profinite.Nobeling	6
67 files Mathlib.Algebra.Algebra.Subalgebra.IsSimpleOrder Mathlib.Algebra.Algebra.Subalgebra.Rank Mathlib.Algebra.Category.CommAlgCat.FiniteType Mathlib.Algebra.Category.FGModuleCat.Basic Mathlib.Algebra.Category.FGModuleCat.EssentiallySmall Mathlib.Algebra.Category.FGModuleCat.Limits Mathlib.Algebra.Category.Ring.FinitePresentation Mathlib.Algebra.Lie.CartanMatrix Mathlib.Algebra.Lie.Free Mathlib.Algebra.Lie.Sl2 Mathlib.Algebra.Lie.UniversalEnveloping Mathlib.Algebra.LinearRecurrence Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf Mathlib.Data.Real.GoldenRatio Mathlib.FieldTheory.MvRatFunc.Rank Mathlib.LinearAlgebra.BilinearForm.DualLattice Mathlib.LinearAlgebra.BilinearForm.Orthogonal Mathlib.LinearAlgebra.BilinearForm.Properties Mathlib.LinearAlgebra.BilinearForm.TensorProduct Mathlib.LinearAlgebra.Coevaluation Mathlib.LinearAlgebra.Contraction Mathlib.LinearAlgebra.Dual.Lemmas Mathlib.LinearAlgebra.FreeAlgebra Mathlib.LinearAlgebra.FreeModule.Finite.Matrix Mathlib.LinearAlgebra.FreeModule.StrongRankCondition Mathlib.LinearAlgebra.Matrix.FiniteDimensional Mathlib.LinearAlgebra.Multilinear.FiniteDimensional Mathlib.LinearAlgebra.PerfectPairing.Basic Mathlib.LinearAlgebra.SymmetricAlgebra.Basis Mathlib.LinearAlgebra.TensorAlgebra.Basis Mathlib.RepresentationTheory.Basic Mathlib.RepresentationTheory.Submodule Mathlib.RingTheory.AdicCompletion.Noetherian Mathlib.RingTheory.Artinian.Algebra Mathlib.RingTheory.Artinian.Instances Mathlib.RingTheory.Derivation.Lie Mathlib.RingTheory.EssentialFiniteness Mathlib.RingTheory.Filtration Mathlib.RingTheory.FinitePresentation Mathlib.RingTheory.FiniteStability Mathlib.RingTheory.FiniteType Mathlib.RingTheory.Finiteness.Quotient Mathlib.RingTheory.Finiteness.Small Mathlib.RingTheory.FractionalIdeal.Basic Mathlib.RingTheory.FractionalIdeal.Extended Mathlib.RingTheory.FractionalIdeal.Operations Mathlib.RingTheory.GradedAlgebra.FiniteType Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization Mathlib.RingTheory.Ideal.NatInt Mathlib.RingTheory.Jacobson.Polynomial Mathlib.RingTheory.KrullDimension.NonZeroDivisors Mathlib.RingTheory.LocalProperties.Basic Mathlib.RingTheory.LocalProperties.Projective Mathlib.RingTheory.LocalProperties.Reduced Mathlib.RingTheory.Localization.Away.Lemmas Mathlib.RingTheory.Localization.Finiteness Mathlib.RingTheory.Localization.Free Mathlib.RingTheory.Localization.InvSubmonoid Mathlib.RingTheory.Localization.Submodule Mathlib.RingTheory.MvPolynomial Mathlib.RingTheory.Polynomial.Quotient Mathlib.RingTheory.ReesAlgebra Mathlib.RingTheory.RingHom.FiniteType Mathlib.RingTheory.RingHom.Finite Mathlib.RingTheory.RingHom.Locally Mathlib.RingTheory.RingHom.Surjective Mathlib.RingTheory.Support	7
87 files Mathlib.Algebra.AlgebraicCard Mathlib.Algebra.Category.ModuleCat.Free Mathlib.Algebra.Category.ModuleCat.Simple Mathlib.Algebra.DualQuaternion Mathlib.Algebra.Jordan.Basic Mathlib.Algebra.Lie.Abelian Mathlib.Algebra.Lie.BaseChange Mathlib.Algebra.Lie.Derivation.AdjointAction Mathlib.Algebra.Lie.Derivation.Basic Mathlib.Algebra.Lie.DirectSum Mathlib.Algebra.Lie.Extension Mathlib.Algebra.Lie.IdealOperations Mathlib.Algebra.Lie.Ideal Mathlib.Algebra.Lie.Normalizer Mathlib.Algebra.Lie.OfAssociative Mathlib.Algebra.Lie.Quotient Mathlib.Algebra.Lie.Subalgebra Mathlib.Algebra.Lie.Submodule Mathlib.Algebra.Lie.TensorProduct Mathlib.Algebra.Module.FinitePresentation Mathlib.Algebra.Module.Lattice Mathlib.Algebra.Module.Presentation.Finite Mathlib.Algebra.Module.SpanRank Mathlib.Algebra.MvPolynomial.Funext Mathlib.Algebra.Polynomial.Expand Mathlib.Algebra.QuaternionBasis Mathlib.Algebra.Quaternion Mathlib.Algebra.Symmetrized Mathlib.Analysis.Convex.BetweenList Mathlib.Analysis.Convex.Between Mathlib.Analysis.Convex.Radon Mathlib.Analysis.Convex.Visible Mathlib.CategoryTheory.Preadditive.HomOrthogonal Mathlib.Data.Real.Irrational Mathlib.FieldTheory.Finiteness Mathlib.FieldTheory.Minpoly.Basic Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional Mathlib.LinearAlgebra.Dimension.Constructions Mathlib.LinearAlgebra.Dimension.DivisionRing Mathlib.LinearAlgebra.Dimension.ErdosKaplansky Mathlib.LinearAlgebra.Dimension.Finite Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition Mathlib.LinearAlgebra.Dimension.Free Mathlib.LinearAlgebra.Dimension.LinearMap Mathlib.LinearAlgebra.Dimension.Localization Mathlib.LinearAlgebra.Dimension.RankNullity Mathlib.LinearAlgebra.Dimension.StrongRankCondition Mathlib.LinearAlgebra.Eigenspace.Basic Mathlib.LinearAlgebra.Eigenspace.Matrix Mathlib.LinearAlgebra.FiniteDimensional.Basic Mathlib.LinearAlgebra.FiniteDimensional.Defs Mathlib.LinearAlgebra.FiniteDimensional.Lemmas Mathlib.LinearAlgebra.FreeModule.PID Mathlib.LinearAlgebra.InvariantBasisNumber Mathlib.LinearAlgebra.Matrix.Diagonal Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber Mathlib.LinearAlgebra.Projectivization.Basic Mathlib.LinearAlgebra.Projectivization.Independence Mathlib.LinearAlgebra.Projectivization.Subspace Mathlib.NumberTheory.DiophantineApproximation.Basic Mathlib.NumberTheory.DiophantineApproximation.ContinuedFractions Mathlib.NumberTheory.FLT.Polynomial Mathlib.NumberTheory.Rayleigh Mathlib.RingTheory.Adjoin.Dimension Mathlib.RingTheory.Adjoin.FG Mathlib.RingTheory.Adjoin.Tower Mathlib.RingTheory.Algebraic.Basic Mathlib.RingTheory.Algebraic.MvPolynomial Mathlib.RingTheory.AlgebraicIndependent.Transcendental Mathlib.RingTheory.Artinian.Module Mathlib.RingTheory.Artinian.Ring Mathlib.RingTheory.FiniteLength Mathlib.RingTheory.Ideal.AssociatedPrime.Finiteness Mathlib.RingTheory.Ideal.Quotient.Noetherian Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic Mathlib.RingTheory.KrullDimension.Basic Mathlib.RingTheory.KrullDimension.Field Mathlib.RingTheory.Length Mathlib.RingTheory.LocalRing.ResidueField.Fiber Mathlib.RingTheory.Polynomial.Basic Mathlib.RingTheory.Polynomial.UniqueFactorization Mathlib.RingTheory.SimpleModule.Rank Mathlib.RingTheory.SimpleModule.WedderburnArtin Mathlib.RingTheory.Spectrum.Maximal.Localization Mathlib.RingTheory.Spectrum.Prime.RingHom Mathlib.Topology.Compactification.OnePoint.ProjectiveLine Mathlib.Topology.Compactification.OnePointEquiv	8
8 files Mathlib.Algebra.Homology.LocalCohomology Mathlib.FieldTheory.Tower Mathlib.RingTheory.Finiteness.Ideal Mathlib.RingTheory.GradedAlgebra.Noetherian Mathlib.RingTheory.Noetherian.Basic Mathlib.RingTheory.Noetherian.Nilpotent Mathlib.RingTheory.Noetherian.Orzech Mathlib.RingTheory.Spectrum.Prime.Basic	9
Mathlib.RingTheory.Finiteness.Finsupp	10

---

Declarations diff

+ instance : AddMonoid.FG (FreeAbelianGroup σ) := by
+ instance : Module.Finite ℤ (FreeAbelianGroup σ)
++ moduleFinite

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[eric-wieser]

I'm having deja vu; am I confusing this with a Free PR?

[YaelDillies]

Yes indeed. You're confusing with #27141

[bryangingechen]

Thanks!
bors r+

[mathlib-bors]

Build failed (retrying...):

• CI Success

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• CI Success