| 拟L商群的同态与同构 |
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| 引用本文： | 彭家寅,冯艳宾,宋雯彦,王加银.拟L商群的同态与同构[J].纯粹数学与应用数学,2004,20(4):295-300,307. |
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| 作者姓名： | 彭家寅 冯艳宾 宋雯彦 王加银 |
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| 作者单位： | 北京师范大学数学系,北京,100875;四川内江师范学院数学系,内江,641112;北京师范大学数学系,北京,100875 |
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| 基金项目： | 国家自然科学基金 ( 60 1740 13 )，数学天元基金 ( A0 3 2 463 9)，教育部博士点基金 ( 2 0 0 2 0 0 0 13 )，教育部科学技术重点项目 ( 0 3 184)，国家 973重大基础研究基金资助项目 ( 2 0 0 2 CB3 12 2 0 0 ) |
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| 摘 要： | HX群是由一个群向其幂集上提升的群结构．文1]将HX群推广到一类特殊的格-原子格L上，称之为AHX群．本文研究了一类特殊的AHX群-拟L商群的同态与同构，获得与拟商群相类似的结果．
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| 关 键 词： | 群 原子格 AHX群 拟L商群 同态 同构 |
| 文章编号： | 1008-5513(2004)04-0295-06 |
| 修稿时间： | 2002年12月18日 |
The homomorphism and isomorphism of qusi-L-quotient groups |
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| PENG Jia-yin.The homomorphism and isomorphism of qusi-L-quotient groups[J].Pure and Applied Mathematics,2004,20(4):295-300,307. |
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| Authors: | PENG Jia-yin |
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| Institution: | PENG Jia-yin~ |
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| Abstract: | HX group is the group structure which is raised toward its power set from a group.HX group from the point of view of atom lattice has been brought to light the problem of the upgrade of groups in more widespread cases,and it was called a AHX group in . In this paper, we consider the homomorphism and isomorphism of qusi-L-quotient group, which is a kind of AHX group, and the results which are similar to qusi-quotient's in the paper are obtained. |
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| Keywords: | group atom lattice AHX group qusi-L-quotient group homomorphism isomorphism |
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