摘要
HX群是一个群的幂集上的群结构.本文将HX群推广到一类特殊的格——原子格上,称之为AHX群.HX群的结论大部分能在原子格上实现.商群与拟商群提升到格上以后,得到较为一般化的结论.最后讨论了几个基本的同态定理.
HX group is the group structure which goes over its power set from a group. This paper considered HX group from the point of view of atom lattice, which would bring to light the problem of the upgrade of groups in more widespreaol caces, and some intersting results have been obtained.
关键词
群
格
原子格
HX群
AHX群
group
lattice
atom lottice
HX group
AHX group
