Asymptotic behavior of reduction numbers

Hoa, Lê

doi:10.1090/S0002-9939-02-06440-7

Asymptotic behavior of reduction numbers
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Proc. Amer. Math. Soc. 130 (2002), 3151-3158 Request permission

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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