A krull-type theorem for the semistar integral closure of an integral domain

الملخص EN

The goal of this paper is to further investigate the structure of the Kronecker function ring Kr(D,*) constructed in [4] when ★ is a semistar operation, pursuing the work initiated by Halter-Koch [7].

In particular, we investigate the set of valuation overrings of Kr(£>,*) and the contractions of these valuation domains to K, the quotient field of D.