| 正规幂环和一致幂环 |
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| 引用本文： | 张振良. 正规幂环和一致幂环[J]. 纯粹数学与应用数学, 2001, 17(1): 6-13 |
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| 作者姓名： | 张振良 |
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| 作者单位： | 昆明理工大学理学院, |
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| 基金项目： | 云南省教育厅资助项目;9911109; |
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| 摘 要： | 文[1]首次提出了HX环（幂环）的概念，文[2]探索了幂环的性质和结构，本文类似于幂群的研究，提出了正规幂环和一致幂环的概念，研究了它们的结构和它们之间的关系，对它们进行了分类，并讨论了它们的交与和，从而构造了它们的子环链和理想链。
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| 关 键 词： | 幂环 正规幂环 一致幂环 商环 广义商环 理想 理想链 |
| 文章编号： | 1008-5513(2001)01-0006-08 |
Normal power ring and uniform power ring |
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| ZHANG Zhen liang. Normal power ring and uniform power ring[J]. Pure and Applied Mathematics, 2001, 17(1): 6-13 |
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| Authors: | ZHANG Zhen liang |
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| Abstract: | In [1] the concept of HX ring (power ring) has been raised firstly. In [2] its the structures and the properties have been described. In this paper the concepts of normal power ring and uniform power ring are put forward,and their structures and their relations are described, and attempts are made to classify the power ring.Finally,their intersections and sums are deal with,thus their chains of subring and the chains of ideal are constructed. |
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| Keywords: | Power ring normal power ring uniform power ring quotient ring generalized quotient ring ideal chain of ideal |
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