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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Asymptotic behavior of reduction numbers


Author: Lê Tuân Hoa
Journal: Proc. Amer. Math. Soc. 130 (2002), 3151-3158
MSC (1991): Primary 13A15
Published electronically: April 17, 2002
MathSciNet review: 1912991
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Abstract: It is shown that the reduction number and the big reduction number of $S/I^n$ are linear functions of $n$ for all large $n$. Here $I$ is a homogeneous ideal of a polynomial ring $S$.


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Additional Information

Lê Tuân Hoa
Affiliation: Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Email: lthoa@thevinh.ncst.ac.vn

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06440-7
PII: S 0002-9939(02)06440-7
Keywords: Reduction number, Castelnuovo-Mumford regularity
Received by editor(s): March 23, 2001
Received by editor(s) in revised form: June 5, 2001
Published electronically: April 17, 2002
Additional Notes: The author was supported by the National Basic Research Program (Vietnam) and University of Essen (Germany)
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2002 American Mathematical Society