| 关于指数稳定＊一半环的研究 |
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| 引用本文： | 赵春花,罗肖强,郭倩茹. 关于指数稳定＊一半环的研究[J]. 达县师范高等专科学校学报, 2011, 21(2): 14-16 |
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| 作者姓名： | 赵春花 罗肖强 郭倩茹 |
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| 作者单位： | 赵春花,郭倩茹,ZHAO Chun-hua,GUO Qian-ru(西北大学数学系,陕西西安,710127);罗肖强,LUO Xiao-qiang(四川文理学院数学与财经系,四川,达州,635000) |
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| 摘 要： | 在k-闭＊-半环的基础上，引入了指数稳定＊-半环的概念，研究了它的性质，矩阵半环以及系数在其中的形式幂级数半环．得到指数稳定半环的矩阵半环不是指数稳定半环，证明了系数在指数稳定半环中的形式幂级数半环是指数稳定半环．
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| 关 键 词： | k-闭半环 k-闭＊-半环 指数稳定半环 形式幂级数 |
On Stable Index Star Simmering |
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| ZHAO Chun-hua,LUO Xiao-qiang,GUO Qian-ru. On Stable Index Star Simmering[J]. Journal of Daxian Teachers College, 2011, 21(2): 14-16 |
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| Authors: | ZHAO Chun-hua LUO Xiao-qiang GUO Qian-ru |
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| Affiliation: | ZHAO Chun-hua1,LUO Xiao-qiang2,GUO Qian-ru1(1.Mathematics Department of North-west University,Xi'an Shanxi 710127,China,2.Math and Finance Department of Sichuan University of Arts and Science 635000,China) |
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| Abstract: | In this paper,we firstly introduce the concept of stable index star simmering on the base of k-closed star simmering.Then we study its property,matrix simmering and the simmering of formal power series with coefficients.The result is found that the matrix simmering of stable index simmering is not the stable index simmering.The result is proved that the simmering of formal power series with coefficients is a stable index simmering. |
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| Keywords: | K-closed simmering k-closed star simmering stable index simmering formal power series |
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