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On selection of nonmultiplicative prolongations in computation of Janet bases

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Publication:926621
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DOI10.1134/S0361768807030048zbMath1147.68878OpenAlexW1975063405MaRDI QIDQ926621

Yu. A. Blinkov, Vladimir P. Gerdt

Publication date: 20 May 2008

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768807030048

zbMATH Keywords

Magma computer algebra system


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)


Related Items

Involutive method for computing Gröbner bases over \(\mathbb F_2\), Involutive bases algorithm incorporating F\(_5\) criterion


Uses Software

  • FGb


Cites Work

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  • Computing toric ideals
  • A new efficient algorithm for computing Gröbner bases \((F_4)\)
  • Efficient computation of zero-dimensional Gröbner bases by change of ordering
  • Converting bases with the Gröbner walk
  • Involutive bases of polynomial ideals
  • Computer Algebra in Scientific Computing
  • Involutive divisions of monomials
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