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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 regularity of $p$-Borel ideals


Authors: Jürgen Herzog and Dorin Popescu
Journal: Proc. Amer. Math. Soc. 129 (2001), 2563-2570
MSC (1991): Primary 13P10; Secondary 13D02, 13C13
Published electronically: February 9, 2001
MathSciNet review: 1838378
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Abstract:

In this paper we prove Pardue's conjecture on the regularity of principal $p$-Borel ideals. As a consequence we obtain an upper bound for the regularity of general $p$-Borel ideals.


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Additional Information

Jürgen Herzog
Affiliation: FB6 Mathematik und Informatik, Universität – GHS – Essen, Postfach 103764, 45117 Essen, Germany
Email: juergen.herzog@uni-essen.de

Dorin Popescu
Affiliation: Institute of Mathematics, University of Bucharest, P.O. Box 1-764, Bucharest 70700, Romania
Email: dorin@stoilow.imar.ro

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05840-3
PII: S 0002-9939(01)05840-3
Keywords: Regularity, $p$-Borel ideals
Received by editor(s): October 12, 1999
Received by editor(s) in revised form: January 24, 2000
Published electronically: February 9, 2001
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2001 American Mathematical Society