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On the walk

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Publication:1389631
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DOI10.1016/S0304-3975(97)00064-9zbMath0895.13012MaRDI QIDQ1389631

Oliver Gloor, Wolfgang Küchlin, Beatrice Amrhein

Publication date: 30 June 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

Gröbner basisGröbner walk


Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)


Related Items

Computing Gröbner Fans of Toric Ideals, Gröbner fans of \(x\)-homogeneous ideals in \(R [\![ t \!][x]\)], Ideal-specific elimination orders form a star-shaped region, The generic Gröbner walk, Computing the radical of an ideal in positive characteristic



Cites Work

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  • Hilbert functions and the Buchberger algorithm
  • The Gröbner fan of an ideal
  • Efficient computation of zero-dimensional Gröbner bases by change of ordering
  • Converting bases with the Gröbner walk
  • Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
  • Admissible orders and linear forms
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