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Computation of the Decomposition Group of a Triangular Ideal
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Computation of the Decomposition Group of a Triangular Ideal I. Abdeljaouad-Tej1 , S. Orange2 , G. Renault2 and A. Valibouze2  | (1) | École Supérieure de la Statistique et de l Analyse de l Information à l INSAT, Boulevard de la Terre, Zone Urbaine Nord Tunis, BP 675, 1080 Tunis, Tunisie |
| (2) | LIP6 - Université Pierre et Marie Curie, 4, place Jussieu, 75005 Paris, France |
Received: 1 July 2003 Revised: 10 June 2004 Published online: 15 October 2004 Abstract. This article describes two algorithms in order to search decomposition groups of ideals of polynomials with coefficients in a perfect field when those ideals are generated by a triangular system of generators. Key words Triangular Ideal - Strong Generating Set Acknowledgement The authors would like to thank the anonymous referees for extensive comments on clarifying and improving the exposition of this paper and Laurence Bessis for her helpful suggestions and comments.
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