| 代数学中的若干反例简析 |
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| 引用本文： | 马双喜,王骁力.代数学中的若干反例简析[J].南阳师范学院学报,2007,6(12):22-25. |
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| 作者姓名： | 马双喜 王骁力 |
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| 作者单位： | 南阳师范学院,数学与统计学院,河南,南阳,473061 |
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| 摘 要： | 通过对代数学中矩阵、多项式、向量组等概念的有关命题的部分条件及其逆命题进行分析,对于非充分必要条件的命题给出反例,从而说明在代数学中定理的条件是完备的.同时对一些命题在条件放松后,给出新的结果,对原有理论作了补充.
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| 关 键 词： | 代数学 反例 逆命题 |
| 文章编号： | 1671-6132（2007）12-0022-04 |
| 收稿时间： | 2007-10-25 |
| 修稿时间： | 2007年10月25 |
About counterexamples in algebra |
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| MA Shuang-xi,WANG Xiao-li.About counterexamples in algebra[J].Journal of Nanyang Teachers College,2007,6(12):22-25. |
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| Authors: | MA Shuang-xi WANG Xiao-li |
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| Abstract: | Some analysis was given on the properties of matrices,linear transformations,multinomials,linear dependence of vectors in algebra.The counterexample were given on the condition of some precondition was failed in every related theorem.New conclusions were given on partial conditions on the known theorem.And the inverse propositions were also considered.Hence we explain that the condition is perfect in algebra.Some new results were given,makes contribution to the original theory. |
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| Keywords: | algebra counterexample inverse proposition |
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