Theorems · Theorem · commutative algebra

Module.finitePresentation_iff_exists_presentation

∀ {A : Type u} [inst : Ring A] {M : Type v} [inst_1 : AddCommGroup M] [inst_2 : Module A M],
  Module.FinitePresentation A M ↔ ∃ pres, Finite pres.G ∧ Finite pres.R

Defined in

Mathlib.Algebra.Module.Presentation.Finite

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule