| 对一道高等代数题的推广 |
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| 引用本文： | 汪义瑞,陈道磊.对一道高等代数题的推广[J].安康学院学报,2011,23(1):81-82. |
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| 作者姓名： | 汪义瑞 陈道磊 |
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| 作者单位： | 安康学院,数学系,陕西,安康,725000 |
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| 基金项目： | 陕西普通本科高等学校教学研究项目 |
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| 摘 要： | 张禾瑞在《高等代数》（第五版）习题中给出了多项式的一个结论：＂设f（x）,g（x）和h（x）是实数域上的多项式,证明若f（x）2=xg（x）2＋xh（x）2,那么f（x）=g（x）=h（x）=0＂。本文借助一般化方法将该结论推广为更一般的定理,并给出了证明。
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| 关 键 词： | 高等代数 推广 证明 |
On the Further Development of an Exercise of Advanced Algebra |
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| WANG Yirui,CHEN Daolei.On the Further Development of an Exercise of Advanced Algebra[J].Journal of Ankang Teachers College,2011,23(1):81-82. |
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| Authors: | WANG Yirui CHEN Daolei |
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| Institution: | WANG Yirui,CHEN Daolei(Department of Mathematics,Ankang University,Ankang 725000,Shaanxi,China) |
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| Abstract: | One conclusion about polynomial is drawn by Zhang Herui in an exercise of the higher algebra(fifth edition)that let and be polynomials in R,if = +,then,in this paper,the conclusion is extended to more general from by general methods,and the proofs of these theorems are given. |
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| Keywords: | advanced algebra extend proofs |
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