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Asymptotic behavior of reduction numbers
Authors:   Tuâ  n Hoa
Affiliation:Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
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 $S$.

Keywords:Reduction number   Castelnuovo-Mumford regularity
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