Generators of separably generated field extensions

Ding Chang-Xin

doi:10.7523/j.issn.2095-6134.2009.1.003

Journal of University of Chinese Academy of Sciences >

2009 , Vol. 26 >Issue 1: 18 - 22

DOI: https://doi.org/10.7523/j.issn.2095-6134.2009.1.003

论文

Generators of separably generated field extensions

Ding Chang-Xin

Expand

Graduate University of the Chinese Academy of Sciences,Beijing 100049, China

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2009-01-15

Fold

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

Cite this article

Ding Chang-Xin . Generators of separably generated field extensions[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(1) : 18 -22 . DOI: 10.7523/j.issn.2095-6134.2009.1.003

Options

PDF (818)
Abstract

Outlines

模态框（Modal）标题

Abstract

Cite this article