We show that the isomorphism zeta (B/A): B/A --> F(A*, B*) introduced by th
e second author for a subintegral extension A subset of or equal to B of po
sitively graded rings with A(0) = B-0 is also an isomorphism if A subset of
or equal to B is only a weakly subintegral extension. (C) 2001 Academic Pr
ess.