Let
Λ
\Lambda
be a finite dimensional algebra. There exists a natural injective map from the set of wide subcategories in the category of finitely generated
Λ
\Lambda
-modules to the set of thick subcategories in the bounded derived category of
Λ
\Lambda
.We show, when
Λ
\Lambda
is elementary, that the natural map is bijective if and only if
Λ
\Lambda
is hereditary.