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

 

On the reduction number
of some graded algebras


Authors: Henrik Bresinsky and Lê Tuân Hoa
Journal: Proc. Amer. Math. Soc. 127 (1999), 1257-1263
MSC (1991): Primary 13C05, 13A15
Published electronically: January 27, 1999
MathSciNet review: 1473657
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Abstract | References | Similar Articles | Additional Information

Abstract: The main result of the paper confirms, for generic coordinates, a conjecture which states that $r(R/I) \le r(R/in(I))$. Here $I$ is a homogeneous polynomial ideal in $R$ and $r(R/I)$ and $r(R/in(I))$ are the reduction numbers.


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Additional Information

Henrik Bresinsky
Affiliation: Department of Mathematics, University of Maine, Orono, Maine 04469-5752
Email: Henrik@maine.maine.edu

Lê Tuân Hoa
Affiliation: Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04622-5
PII: S 0002-9939(99)04622-5
Keywords: Monomial ideal, Borel-fixed ideal, generic coordinates, reduction number
Received by editor(s): April 18, 1997
Received by editor(s) in revised form: August 6, 1997
Published electronically: January 27, 1999
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1999 American Mathematical Society