| 右群的半直积和圈积 |
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| 引用本文： | 彭少玉,刘红霞,张玉芬. 右群的半直积和圈积[J]. 山东科学, 2007, 20(1): 10-13 |
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| 作者姓名： | 彭少玉 刘红霞 张玉芬 |
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| 作者单位： | 鲁东大学数学与信息学院,山东,烟台,264025;烟台大学数学系,山东,烟台,26400;山东师范大学数学科学学院,山东,济南,250014 |
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| 基金项目： | 烟台师范学院校科研和教改项目 |
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| 摘 要： | 从右群的另一定义出发给出了两个半群的半直积和圈积是右群的充分必要条件,并讨论了右群的半直积的最小群同余和最大幂等分离同余.
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| 关 键 词： | 右群 半直积 圈积 最小群同余 最大幂等分离同余 |
| 文章编号： | 1002-4026（2007）01-0010-04 |
| 收稿时间： | 2006-02-10 |
| 修稿时间： | 2006-02-10 |
Semidirect Products and Wreath Products of Right Group |
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| PENG Shao-yu,LIU Hong-xia,ZHANG Yu-fen. Semidirect Products and Wreath Products of Right Group[J]. Shandong Science, 2007, 20(1): 10-13 |
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| Authors: | PENG Shao-yu LIU Hong-xia ZHANG Yu-fen |
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| Affiliation: | 1. School of Mathematics and Information, Ludong University, Yaitai 264025, China; 2. Department of Mathematics, Yantai University, Yantai 264005, China ; 3. School of Mathematics Science, Shandong Normal University, Jinan 250014, China |
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| Abstract: | The necessary and sufficient conditions are determined for the semidirect products and the wreath products of two semigroups to be a right group from another definition of right group.Furthermore,the least group congruence and the maximum idempotent-separating congruence on the semidirect products of right groups are discussed. |
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| Keywords: | right group semidirect product wreath product the least group congruence the maximum(idempotent-separating) congruence |
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