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A Bound for the Order of Characteristic Set Elements of an Ordinary Prime Differential Ideal and some Applications

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

With respect to an elimination ordering, we give an upper bound for the order of characteristic set elements of an ordinary prime differential ideal. Using some results of complexity in the algebraic case, we show that computing characteristic sets of ordinary prime differential ideals, by change of ordering, is single exponential time.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences Semlalia, B.P. 2390, Avenue Safi, Marrakech, Morocco (e-mail: sadik@ucam.ac.ma), , , , , , MA

    Brahim Sadik

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  1. Brahim Sadik
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Received: January 8, 1997; revised version: May 6, 1999

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Sadik, B. A Bound for the Order of Characteristic Set Elements of an Ordinary Prime Differential Ideal and some Applications. AAECC 10, 251–268 (2000). https://doi.org/10.1007/s002000050128

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  • DOI: https://doi.org/10.1007/s002000050128

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