caa a22 4500 463202937 CHVBK 20180405153117.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00200-007-0055-8 doi (NATIONALLICENCE)springer-10.1007/s00200-007-0055-8 Yokoyama Kazuhiro Department of Mathematics, Rikkyo University, 3-34-1 Nishi Ikebukuro, Toshima-ku, 171-8501, Tokyo, Japan aut On systems of algebraic equations with parametric exponents II [Elektronische Daten] [Kazuhiro Yokoyama] We deal with ideals generated by polynomials with parametric exponents, and discuss certain stability of forms of Gröbner bases of those ideals. Based on the author's previous work, we investigate techniques by "slack variables” and succeed in obtaining further useful notions and new techniques using elimination ideals and ring homomorphisms. We also apply those techniques to cases, where a single parameter appears only on a single variable as its exponent, with help of univariate GCD computation of polynomials with parametric exponent. Moreover, as the original method for GCD computation could not handle some subcase and so it was not complete, we complete the method by adding a concrete procedure for handling the subcase. Springer-Verlag, 2007 Ideals with parametric exponents nationallicence Gröbner basis nationallicence Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/6(2007-12-01), 603-630 0938-1279 18:6<603 2007 18 200 https://doi.org/10.1007/s00200-007-0055-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-007-0055-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yokoyama Kazuhiro Department of Mathematics, Rikkyo University, 3-34-1 Nishi Ikebukuro, Toshima-ku, 171-8501, Tokyo, Japan aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/6(2007-12-01), 603-630 0938-1279 18:6<603 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer