Asymptotic behavior of reduction numbers

Author:
Lê Tuân Hoa

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3151-3158

MSC (1991):
Primary 13A15

DOI:
https://doi.org/10.1090/S0002-9939-02-06440-7

Published electronically:
April 17, 2002

MathSciNet review:
1912991

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the reduction number and the big reduction number of are linear functions of for all large . Here is a homogeneous ideal of a polynomial ring .

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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:
https://doi.org/10.1090/S0002-9939-02-06440-7

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