If a finite free commutative algebra has zero Kähler differentials, its discriminant is invertible, making it tracically étale.
Alors pourβ= ∑ ixi⊗y i∈B⊗ A Bon obtient Tr(B⊗AB)/B(β) = ∑ ixi TrB/A(yi)
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Algebraic identities to prove that a neat finite free algebra is tracically \'etale
If a finite free commutative algebra has zero Kähler differentials, its discriminant is invertible, making it tracically étale.