| p~k元域上的三次方程根的状况 |
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| 引用本文： | 孙宗明.p~k元域上的三次方程根的状况[J].内蒙古师范大学学报(自然科学版),2001(3). |
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| 作者姓名： | 孙宗明 |
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| 作者单位： | 泰安师范专科学校数学系!山东泰安271000 |
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| 摘 要： | 完整地给出了F(设F是一个pk 元域 )上的三次方程根的状况 :在F中有且仅有一个根 ,或一个单根与一个二重根 ,或三个互异的根 ,或没有根 .
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| 关 键 词： | pk元域 三次方程 根 单根 二重根 |
THE ROOTS OF THE CUBIC FQUATIONS OVER A FIFLD WITH p~k ELEMENTS |
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| SUN Zong,ming.THE ROOTS OF THE CUBIC FQUATIONS OVER A FIFLD WITH p~k ELEMENTS[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2001(3). |
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| Authors: | SUN Zong ming |
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| Abstract: | Let F be a field with p k elements.In this paper,the author completely studied on the roots of the cubic equation over the field F .When this equation has one and only one root or one simple root and one twofold root or three differemt roots,or it has no roots in the field F . |
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| Keywords: | field with p k elements cubic equation root simple root twofold root |
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