Excellent Rings with Local Generic Formal Fibers
نویسندگان
چکیده
منابع مشابه
Chains of Unusual Excellent Local Rings
Let (T,M) be a complete local domain containing the integers. Let p1 ⊆ p2 ⊆ · · · ⊆ pn be a chain of nonmaximal prime ideals of T such that Tpn is a regular local ring. We construct a chain of excellent local domains An ⊆ An−1 ⊆ · · · ⊆ A1 such that for each 1 ≤ i ≤ n, the completion of Ai is T , the generic formal fiber of Ai is local with maximal ideal pi, and if I is a nonzero ideal of Ai th...
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متن کاملCOMPLETIONS OF UFDs WITH SEMI-LOCAL FORMAL FIBERS
Let T M be a complete local ring such that T/M = T . Given a finite set of incomparable nonmaximal prime ideals C of T , we provide necessary and sufficient conditions for T to be the completion of a local UFD A, whose generic formal fiber is semilocal with maximal ideals the elements of C. We also show that, given the T above, we can find necessary and sufficient conditions for T to be the com...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7306