Theorems · Definition · algebraic geometry

Module.rankAtStalk

{R : Type uR} → (M : Type uM) → [inst : CommRing R] → [inst_1 : AddCommGroup M] → [Module R M] → PrimeSpectrum R → ℕ

The rank of M at the stalk of p is the rank of Mₚ as a Rₚ-module.

Defined in

Mathlib.RingTheory.Spectrum.Prime.FreeLocus

Cited by

41 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule