Abstract
ABSTRACT Let () be a complete local ring such that no integer is a zero divisor, , and the cardinality of the residue field is at least the cardinality of the real numbers. Let be a chain of distinct prime ideals of T such that intersected with the prime subring of T is the zero ideal and if Q is an associated prime ideal of T then Q is contained in . Then there exists a chain of local domains such that for every , the completion of is T and the generic formal fiber ring of is local with maximal ideal , where is the quotient field of . Furthermore, if, in addition to the above stated hypotheses, () is a complete regular local ring containing the rationals, then we can construct the chain so that each is excellent.
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