On the number of generators of Cohen-Macaulay ideals

Authors
D'Cruz, C Verma, JK
Citation
C. D'Cruz et Jk. Verma, On the number of generators of Cohen-Macaulay ideals, P AM MATH S, 128(11), 2000, pp. 3185-3190
Citations number
17
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
11
Year of publication
2000
Pages
3185 - 3190
Database
ISI
SICI code
0002-9939(2000)128:11<3185:OTNOGO>2.0.ZU;2-9
Abstract
Several bounds on the number of generators of Cohen-Macaulay ideals known i n the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Coh en and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are ded uced very easily from this inequality.