拟L商群的同态与同构  

The homomorphism and isomorphism of qusi-L-quotient groups

作　　者：彭家寅[1] 冯艳宾[1] 宋雯彦[1] 王加银[1] 

机构地区：[1]北京师范大学数学系

出　　处：《纯粹数学与应用数学》2004年第4期295-300,307,共7页Pure and Applied Mathematics

基　　金：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 )

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 。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.

关 键 词：群 原子格 AHX群 拟L商群 同态 同构 

分 类 号：O152.7[理学—数学]