Algebraic Transformations of Polynomial Equations, Symmetric Polynomials and Elimination

Algebraic Transformations of Polynomial Equations, Symmetric Polynomials and Elimination
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多项式方程、对称多项式的代数变换和消元法

DOI:
10.1007/3-540-51084-2_30
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发表时间:
1988
期刊:
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影响因子:
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通讯作者:
A. Valibouze
A. Valibouze
中科院分区:
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文献类型:
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作者:
M. Giusti;D. Lazard;A. Valibouze

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设k是一个域,K是一个代数闭包。对于每个系数为k的单变量多项式1”,都与代数同态f*“逆像”相关联(即f*(P)= P,在这种特定情况下,其根是P的根f的逆像的多项式)在K中)。
Let k be a field, and K an algebraic closure. To every unlvariate polynomial 1" with coefficients in k is associated the algebra homomorphism f*" inverse image"(ie f*(P)= P of, which is in this particular case the polynomial whose roots are the inverse images by f of the roots of P in K).