Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 45, Number 3 (2001), 965-979.
Intermediate rings between a local domain and its completion. {II}
William Heinzer, Christel Rotthaus, and Sylvia Wiegand
Abstract
We present results connecting flatness of extension rings to the Noetherian property for certain intermediate rings between an excellent normal local domain and its completion. We consider conditions for these rings to have Cohen-Macaulay formal fibers. We also present several examples illustrating these results.
Article information
Source
Illinois J. Math., Volume 45, Number 3 (2001), 965-979.
Dates
First available in Project Euclid: 13 November 2009
Permanent link to this document
https://projecteuclid.org/euclid.ijm/1258138163
Digital Object Identifier
doi:10.1215/ijm/1258138163
Mathematical Reviews number (MathSciNet)
MR1879247
Zentralblatt MATH identifier
0989.13003
Subjects
Primary: 13A15: Ideals; multiplicative ideal theory
Secondary: 13C15: Dimension theory, depth, related rings (catenary, etc.) 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]
Citation
Heinzer, William; Rotthaus, Christel; Wiegand, Sylvia. Intermediate rings between a local domain and its completion. {II}. Illinois J. Math. 45 (2001), no. 3, 965--979. doi:10.1215/ijm/1258138163. https://projecteuclid.org/euclid.ijm/1258138163
