Theorems · Theorem · commutative algebra
MvPolynomial.pow_idealOfVars_eq_span
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] (n : ℕ),
MvPolynomial.idealOfVars σ R ^ n = Ideal.span ((fun x => (MvPolynomial.monomial x) 1) '' ⇑Finsupp.degree ⁻¹' {n})The nth power of idealOfVars is spanned by all monic monomials of total degree n.
- Defined in
- Mathlib.RingTheory.MvPolynomial.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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