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A Gröbner approach to involutive bases

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Publication:1904137
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DOI10.1006/jsco.1995.1026zbMath0857.13027OpenAlexW2080868322MaRDI QIDQ1904137

Joachim Apel

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1006/jsco.1995.1026


zbMATH Keywords

Gröbner basisPommaret basisalgebras of solvable typeinvolutive bases of polynomial ideals


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of associative rings (general theory) (16Z05)


Related Items

Role of involutive criteria in computing Boolean Gröbner bases ⋮ Analytical study of cubature formulas on a sphere in computer algebra systems ⋮ Involutive bases of polynomial ideals ⋮ Minimal involutive bases ⋮ Term-ordering free involutive bases ⋮ Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms ⋮ Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials ⋮ Involutive bases in the Weyl algebra.



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