| Finite Indeterminacy of Homogenous Polynomial Germs under Some Subgroups R1（r） of R |
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| 引用本文： | LIU Heng-xing ZHANG Dun-mu. Finite Indeterminacy of Homogenous Polynomial Germs under Some Subgroups R1（r） of R[J]. 武汉大学学报:自然科学英文版, 2005, 10(5): 803-807. DOI: 10.1007/BF02832416 |
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| 作者姓名： | LIU Heng-xing ZHANG Dun-mu |
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| 作者单位： | [1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072, Hubei, China |
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| 基金项目： | Supported by the National Nature Science Foundation of China（10261002） |
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| 摘 要： | Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1（r） of R in both real and complex case is proven by the homogeneity of the polynomial germs. It results in the finite determinacy of homogeneous polynomial germs needn＇t be discussed respectively.
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| 关 键 词： | 群论 子群 同质多项式 有限不确定性 有序性 |
| 文章编号： | 1007-1202（2005）05-0803-05 |
| 收稿时间： | 2004-11-10 |
Finite indeterminacy of homogenous polynomial germs under some subgroupsR I r ofR |
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| Liu Heng-xing,Zhang Dun-mu. Finite indeterminacy of homogenous polynomial germs under some subgroupsR I r ofR[J]. Wuhan University Journal of Natural Sciences, 2005, 10(5): 803-807. DOI: 10.1007/BF02832416 |
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| Authors: | Liu Heng-xing Zhang Dun-mu |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
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| Abstract: | Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroupsR R r ofR in both real and complex case is proven by the homogeneity of the polynomial germs. It results in the finite determinacy of homogeneous polynomial germs needn’t be discussed respectively. Foundation item: Supported by the National Nature Science Foundation of China(10261002) Biography: LIU Heng-xing(1961-), male, Ph.D. candidate, Associate professor, research direction: singularity theory. |
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| Keywords: | homogeneous polynomial finitely determined algebraic set regular sequence complete intersection |
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