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

 

Regularity index of Hilbert functions of powers of ideals


Author: Tran Nam Trung
Journal: Proc. Amer. Math. Soc. 137 (2009), 2169-2174
MSC (2000): Primary 13D40
Published electronically: February 12, 2009
MathSciNet review: 2495248
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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: http://dx.doi.org/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
Published electronically: February 12, 2009
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.