Theorems · Definition · commutative algebra

ValuationSubring.pointwiseMulAction

{K : Type u} →
  [inst : Field K] → {G : Type u_1} → [inst_1 : Group G] → [MulSemiringAction G K] → MulAction G (ValuationSubring K)

The action on a valuation subring corresponding to applying the action to every element. This is available as an instance in the Pointwise locale. This is a stronger version of ValuationSubring.pointwiseSMul.

Defined in

Mathlib.RingTheory.Valuation.ValuationSubring

Cited by

0 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldGroupMulSemiringAction