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Regularity index of Hilbert functions of powers of ideals

Author(s): Tran Nam Trung
Journal: Proc. Amer. Math. Soc. 137 (2009), 2169-2174.
MSC (2000): Primary 13D40
Posted: February 12, 2009
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Abstract: Let $ I$ be a homogeneous ideal of a Noetherian standard graded algebra $ A$ over an Artinian ring $ A_0$, and let $ M$ be a finitely generated graded $ A$-module. It is shown that the regularity index of the Hilbert function of $ I^nM$ is a linear function of $ n$ for all $ n$ large enough.

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Additional Information:

Tran Nam Trung
Affiliation: Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Viet Nam
Email: tntrung@math.ac.vn

DOI: 10.1090/S0002-9939-09-09640-3
PII: S 0002-9939(09)09640-3
Keywords: Hilbert function, Hilbert polynomial, Hilbert-Poincar\'e series
Received by editor(s): October 29, 2007,
Received by editor(s) in revised form: March 18, 2008
Posted: February 12, 2009
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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