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Excellent Rings with Local Generic Formal Fibers

✍ Scribed by S Loepp

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
172 KB
Volume
201
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let T, M be a complete regular local ring of dimension at least 2, containing the rationals, such that the cardinality of the residue field TrM is at least the cardinality of the real numbers. Suppose p / M is a prime ideal of T. We construct an excellent regular local ring A such that the completion of A is T and Ž the generic formal fiber of A is local this means that the ring

ring where K is the quotient field of A with p m K its maximal ideal. In A Ž . addition, if q is a prime ideal of T with q l A s P / 0 , then q s PT. ᮊ 1998

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