Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system
نویسندگان
چکیده
Abstract A relationship between a parametric ideal and its generic Gröbner basis is discussed, new stability condition of given. It shown that the quotient by generated using provides condition. Further, utilized to compute comprehensive system, hence as an application, we obtain algorithm for computing systems. The proposed has been implemented in computer algebra system Risa/Asir experimented with number examples. Its performance (execution timings) compared Kapur-Sun-Wang’s
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ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2023
ISSN: ['1432-0622', '0938-1279']
DOI: https://doi.org/10.1007/s00200-023-00620-8