Abstract
Let (T, M) be a complete local normal integral domain containing the rationals such that |T/M| ≥ c where c is the cardinality of the real numbers. Let p be a non-maximal prime ideal of T such that Tp is a regular local ring. We construct a local Unique Factorization Domain (UFD) A such that the M-adic completion of A is T, p is maximal in the generic formal fiber and all fibers of A are geometrically regular except for those over some height one prime ideals.
Original language | English (US) |
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Pages (from-to) | 1321-1336 |
Number of pages | 16 |
Journal | Communications in Algebra |
Volume | 33 |
Issue number | 5 |
DOIs | |
State | Published - 2005 |
Keywords
- Complete ring
- Completion
- Excellent ring
- Local integral domain
- Normal domain
- Unique factorization domain
ASJC Scopus subject areas
- Algebra and Number Theory