| 分片代数集合的不可约性和同构 |
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| 引用本文： | 王文举.分片代数集合的不可约性和同构[J].数学研究及应用,2004,24(2):225-230. |
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| 作者姓名： | 王文举 |
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| 作者单位： | 首都经济贸易大学信息学院,北京,100026 |
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| 摘 要： | 本文利用多元样条函数来定义分片代数集合,讨论了分片代数集合的不可约性和同构问题,给出了分片代数集合不可约的两个等价条件,并把分片代数集合的同构分类问题转化为交换代数的同构分类问题。
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| 关 键 词： | 多元样条函数 分片代数集合 不可约性 同构 |
| 收稿时间： | 2002/8/20 0:00:00 |
The Irreducibility and Isomorphism of Piecewise Algebraic Sets |
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| WANG Wen-ju.The Irreducibility and Isomorphism of Piecewise Algebraic Sets[J].Journal of Mathematical Research with Applications,2004,24(2):225-230. |
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| Authors: | WANG Wen-ju |
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| Institution: | Information School; Capital University of Economics & Business; Beijing; China |
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| Abstract: | In this paper , we define the piecewise algebraic sets by using multivariate spline functions and discuss their irreducibility and isomorphism problem. We present two equivalent conditions for the irreducibility of piecewise algebraic sets, and turn the isomorphism and classifying problem of piecewise algebraic sets into the isonorphism and classifying problem of commutative algebras. |
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| Keywords: | multivariate spline function piecewise algebraic sets irreducibility isomorphism |
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