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On the Relation Between Gröbner and Pommaret Bases

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

The reduced Pommaret basis and the reduced Gröbner basis of an ideal I with respect to a fixed admissible term order ≺ differ in general. A necessary and sufficient criterion for the coincidence of these bases is given.

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Authors and Affiliations

  1. Department of Mathematics, ETH Zürich, CH-8092 Zürich, Switzerland, , , , , , CH

    Daniel Mall

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  1. Daniel Mall
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Received: October 29, 1997; revised version: April 15, 1998

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Mall, D. On the Relation Between Gröbner and Pommaret Bases. AAECC 9, 117–123 (1998). https://doi.org/10.1007/s002000050097

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  • DOI: https://doi.org/10.1007/s002000050097