Theorems · Theorem · commutative algebra
Algebra.IsStandardSmoothOfRelativeDimension.iff_of_isStandardSmooth
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [Nontrivial S]
[Algebra.IsStandardSmooth R S] (n : ℕ), Algebra.IsStandardSmoothOfRelativeDimension n R S ↔ Module.rank S Ω[S⁄R] = ↑n- Cited by
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- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
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- Algebra.IsStandardSmoothstatement and proof · cited by 17
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