Ideals having the expected reduction number
- 1 February 1996
- journal article
- Published by Project MUSE in American Journal of Mathematics
- Vol. 118 (1) , 17-38
- https://doi.org/10.1353/ajm.1996.0006
Abstract
It is known that the blow-up algebras of an ideal enjoy many good properties if the reduction number of the ideal satisfies an expected upper bound. In this paper we characterize ideals that have this expected reduction number. Applied to perfect ideals of grade two, our result yields a concrete criterion in terms of Fitting ideals for when the Rees algebra is Cohen-Macaulay.This publication has 18 references indexed in Scilit:
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