›› 2009, Vol. 26 ›› Issue (1): 18-22.DOI: 10.7523/j.issn.2095-6134.2009.1.003
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Ding Chang-Xin
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Abstract: Let K be a field, is a separably generated extension of K. tr:deg:(L/K) = r . Then there exists finite non-zero polyno mials in n(r+1) variables such that , if , we have where . The coefficients of the polynomials can be well controlled.
Key words: Separably generated field extension, Groebner basis, Primitive element theorem
Ding Chang-Xin. Generators of separably generated field extensions[J]. , 2009, 26(1): 18-22.
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URL: http://journal.ucas.ac.cn/EN/10.7523/j.issn.2095-6134.2009.1.003
http://journal.ucas.ac.cn/EN/Y2009/V26/I1/18