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›› 2009, Vol. 26 ›› Issue (1): 18-22.DOI: 10.7523/j.issn.2095-6134.2009.1.003

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Generators of separably generated field extensions

Ding Chang-Xin   

  1. Graduate University of the Chinese Academy of Sciences,Beijing 100049, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2009-01-15

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