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Algebrric solution of systems of polynomirl equations using Groebher bases

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 356))

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References

  1. D. BAYER, M. STILLMAN A theorem on refining division orders by the reverse lexicographical order, Duke Math. J. 55 (1987) 321–328

    Article  Google Scholar 

  2. W. BÖGE, R. GEBRUER, H. KREDEL Some examples for solving systems of algebraic equations by calculating Gröbner boses, J.Symb.Comp. 1 (1986), 83–98

    Google Scholar 

  3. B.BUCHBERGER Ein Rigorithmus zum Auffinden der Bosiselemente des Restklassenringes noch einem nulldimensionalen Polynomideal, Ph. D. Thesis (1965), Innsbruck Univ.

    Google Scholar 

  4. B. BUCHBERGER Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Req. Math. 4 (1970), 374–383

    Google Scholar 

  5. B. BUCHBERGER A criterion for detecting unnecessary reductions in the construction of Gröbner bases, Proc. EUROSAM 79 Lect. Notes Comp. Sci. 72 (1979), 3–21

    Google Scholar 

  6. B.BUCHBERGER Gröbner bases: an algorithmic method in polynomial ideal theory, in Recent trends in multidimensional systems theory, N.K.BOSE Ed., Reidel (1985)

    Google Scholar 

  7. D.DUVAL Diverses questions relatives au calcul formel ovec des nombres algebriques, These d'Etat (1987), Grenoble

    Google Scholar 

  8. R.GEBAUER, H.M.MÖLLER On an installation of Buchberger's algorithm, J. Symb. Comp., to appear

    Google Scholar 

  9. R.GEBAUER, H.M.MÖLLER Buchberger's algorithm and staggered linear bases, Proc. SYMSAC '86, A.C.M. (1986) 218–221

    Google Scholar 

  10. P.GIRNNI Properties of Gröbner boses under specialization, Proc. EUROCRL 87 (1987)

    Google Scholar 

  11. P.GIANNI, B.TRAGER, G.ZACHARIRS Gröbner bases and primary decomposition of polynomial ideals, J. Symb. Comp., to appear

    Google Scholar 

  12. M. KRLKBRENNER Solving systems of algebraic equations by using Gröbner bases, Proc. EUROCAL 87 (1987)

    Google Scholar 

  13. W. TRINKS Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen, J. Number Th. 10 (1978), 475–488

    Article  Google Scholar 

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Llorenç Huguet Alain Poli

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© 1989 Springer-Verlag Berlin Heidelberg

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Gianni, P., Mora, T. (1989). Algebrric solution of systems of polynomirl equations using Groebher bases. In: Huguet, L., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1987. Lecture Notes in Computer Science, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51082-6_83

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  • DOI: https://doi.org/10.1007/3-540-51082-6_83

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