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Let ⁄ be an e.a.b. star operation on an integrally closed do- main D, and let Kr(D,⁄) be the Kronecker function ring of D. We show that if D is a P⁄MD, then the mapping Dfi 7! Kr(Dfi,v) is a bijection from the set {Dfi} of ⁄-linked overrings of D into the set of overrings of Kr(D,v). This is a generalization of (5, Proposition 32.19) that if D is a Prufer domain, then the mapping Dfi 7! Kr(Dfi,b) is a one-to-one mapping from the set {Dfi} of overrings of D onto the set of overrings of Kr(D,b).

OVERRINGS OF THE KRONECKER FUNCTION RING Kr(D, *) OF A PRUFER *-MULTIPLICATION DOMAIN D

OVERRINGS OF THE KRONECKER FUNCTION RING Kr(D, ) OF A PRUFER -MULTIPLICATION DOMAIN D