On the number of generators of Cohen-Macaulay ideals-Reference-Cited by-同舟云学术

On the number of generators of Cohen-Macaulay ideals

Published:2000-06-07 Issue:11 Volume:128 Page:3185-3190
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

D’Cruz Clare,Verma J.

Abstract

Several bounds on the number of generators of Cohen-Macaulay ideals known in the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Cohen and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are deduced very easily from this inequality.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-11/S0002-9939-00-05410-1/S0002-9939-00-05410-1.pdf

Reference17 articles.

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3. Infinite number fields with Noether ideal theories;MacLane, Saunders;Amer. J. Math.,1939

4. On the number of generators of ideals in local Cohen-Macaulay rings;Boratyński, Maksymillian;J. Algebra,1979

5. The lattice theory of ova;Ward, Morgan;Ann. of Math. (2),1939

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