Theorems · Definition · commutative algebra

MvPolynomial.weightedTotalDegree

{R : Type u_1} →
  {M : Type u_2} →
    [inst : CommSemiring R] →
      {σ : Type u_3} → [AddCommMonoid M] → [inst_2 : SemilatticeSup M] → [OrderBot M] → (σ → M) → MvPolynomial σ R → M

When M has a ⊥ element, we can define the weighted total degree of a multivariate polynomial as a function taking values in M.

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

11 results in Mathlib

Foundations

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

Assumes

CommSemiringAddCommMonoidSemilatticeSupOrderBot