Theorems · Theorem · commutative algebra

Module.FinitePresentation.fg_ker

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] [Module.Finite R M] [h : Module.FinitePresentation R N]
  (l : M →ₗ[R] N), Function.Surjective ⇑l → l.ker.FG

Defined in

Mathlib.Algebra.Module.FinitePresentation

Cited by

6 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddCommGroupModuleModule.FiniteModule.FinitePresentation