摘要
提出了类似于[1][2]的正则子群及特殊子群的概念,得到了它们的若干基本性质,通过这些性质刻划了子群格的完全分配性以及给出了任意群的子群又含有限多个极小子群的条件.
This paper puts forward the concepts of a regular subgronp and a special subgroup similar to paper[1] and [2], and proves some primary proptrties. By these properties, we discuss the complete distributivity of the lattice of all subgrowps of a growp, and give the condition that a subgronp of any gronp only contains finite minimal subgronps.
出处
《南方冶金学院学报》
1999年第1期65-68,共4页
Journal of Southern Institute of Metallurgy
关键词
正则子群
特殊子群
群
Regular srbgronp, Special subgronp