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Characterization of relative Gröbner bases

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Publication:390387
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DOI10.1016/J.JSC.2013.03.003zbMath1329.13048OpenAlexW1973440348MaRDI QIDQ390387

Christian Dönch

Publication date: 8 January 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.03.003


zbMATH Keywords

characterization of relative Gröbner basesrelative Gröbner basesrelative reductionsymmetry of relative Gröbner bases


Mathematics Subject Classification ID

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


Related Items (2)

Relative reduction and Buchberger's algorithm in filtered free modules ⋮ Termination of algorithm for computing relative Gröbner bases and difference differential dimension polynomials




Cites Work

  • Unnamed Item
  • Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules
  • Efficient computation of zero-dimensional Gröbner bases by change of ordering
  • Converting bases with the Gröbner walk
  • Polynomial algorithms in computer algebra
  • Gröbner bases with respect to several orderings and multivariable dimension polynomials




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