Theorems · Definition · commutative algebra

MvPolynomial.IsWeightedHomogeneous

{R : Type u_1} →
  {M : Type u_2} → [inst : CommSemiring R] → {σ : Type u_3} → [AddCommMonoid M] → (σ → M) → MvPolynomial σ R → M → Prop

A multivariate polynomial φ is weighted homogeneous of weighted degree m if all monomials occurring in φ have weighted degree m.

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

31 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoid