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De Nugis Groebnerialium 2: Applying Macaulay's Trick in Order to Easily Write a Gröbner Basis

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 A trick introduced by Macaulay, in order to blow up a monomial ideal into a point ideal whose maximal ideal is the given monomia ideal, is sligtly generalized to allow to write down a Gröbner basis whose maximal ideal is a given monomial ideal.

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  1. DISI, Università di Genova, Viale Dodecaneso 35, 16146 Genova, Italy (e-mail: theomora@disi.unige.it), , , , , , IT

    Ferdinando Mora

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  1. Ferdinando Mora
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Received: December 9, 1999; revised version: November 15, 2002

Keywords: Macaulay's bound, Gröbner basis.

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Mora, F. De Nugis Groebnerialium 2: Applying Macaulay's Trick in Order to Easily Write a Gröbner Basis. AAECC 13, 437–446 (2003). https://doi.org/10.1007/s00200-002-0112-2

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  • DOI: https://doi.org/10.1007/s00200-002-0112-2

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