Keywords
- Prime Ideal
- Finite Type
- Noetherian Ring
- Integral Closure
- Local Cohomology
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Brewer and W. Heinzer, Associated primes of principal ideals, Duke Math. J. 41 (1974), 1–7.
F. W. Call and R. Y. Sharp, A short proof of the local Lichtenbaum-Hartshorne theorem on the vanishing of local cohomology, Bull. London Math. Soc. 18 (1986), 261–264.
I. S. Cohen, Length of prime ideal chains, Amer. J. Math. 76 (1954), 654–668.
P. M. Eakin, Jr, W. Heinzer, D. Katz and L. J. Ratliff, Jr., Notes on ideal-transforms, Rees rings and Krull rings, J. of Algebra 110 (1987), 407–419.
A. Grothendieck, Local cohomology, Lect. Notes in Math. No. 41, Berlin-Heidelberg-New York, 1970.
R. Hartshorne, Cohomological dimension of algebraic varieties, Ann. of Math. 88 (1968), 403–450.
W. Heinzer, On Krull overrings of a Noetherian domain, Proc. Amer. Math. Soc. 22 (1969), 217–222.
D. Katz and L. J. Ratliff, Jr., Two notes on ideal-transforms, Math. Proc. Camb. Phil. Soc. 102 (1987), 389–397.
H. Matsumura, “Commutative Algebra,” 2nd edit., New York, 1980.
M. Nagata, A treatise on the 14th problem of Hilbert, Mem. Coll. Sci. Kyoto Univ. 30 (1956), 57–82.
M. Nagata, Lecture on the fourteenth problem of Hilbert, Tata Inst. Fund. Res., Lect. on Math. No. 31, Bombay, 1965.
F. Richman, Generalized quotient rings, Proc. Amer. Math. Soc. 16 (1965), 794–799.
P. Schenzel, Finiteness of relative Rees rings and asymptotic prime divisors, Math. Nachr. 129 (1986), 123–148.
P. Schenzel, Filtrations and Noetherian symbolic blowup rings, Proc. Amer. Math. Soc. 102 (1988), 817–822.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor David Rees on his seventieth birthday
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Schenzel, P. (1990). Flatness and ideal-transforms of finite type. In: Bruns, W., Simis, A. (eds) Commutative Algebra. Lecture Notes in Mathematics, vol 1430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085538
Download citation
DOI: https://doi.org/10.1007/BFb0085538
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52745-9
Online ISBN: 978-3-540-47136-3
eBook Packages: Springer Book Archive
