Wikipedia article about Krull-Akizuki theorem gives a very general version of theorem: let A be a one-dimensional reduced noetherian ring, K its total ring of fractions. If B is a subring of a finite extension L of K containing A and is not a field, then B is a one-dimensional noetherian ring. Furthermore, for every nonzero ideal I of B, B/I is finite over A.
Unfortunately I can't find anywhere else such a statement. Typically statement is as above but for noetherian domains and finite extensions of fields of fractions. That includes Bourbaki's Commutative algebra, that is given as a reference in Wikipedias article, Matsumura Commutative ring theory and number of others.
Proof that is given in Wikipedia is only for the case L = K and is taken from Huneke & Swanson Integral Closure of Ideals, Rings, and Modules. There theorem stated for noetherian reduced rings but again only for L = K.
So is general statement from Wikipedia correct? Are there some references or am I missing something and it can be reduced to case of domains?
Thank you!