一类群的幂半群的半格分解  

On the semilatice decomposition of the power semigroups of a class of groups

作　　者：梁金玲[1] 

机构地区：[1]西北大学数学系

出　　处：《纯粹数学与应用数学》1999年第2期33-36,共4页Pure and Applied Mathematics

摘　　要：讨论了一类群的幂半群的半格分解，得到了最大半格分解的刻划，及有关滤子，完全素理想等一系列结果．作为特例，得到了Ｐｕｔｃｈａ．Ｍ．Ｓ．关于有限群的幂半群的最大半格分解的结论．This paper discusses the semilattice decomposition of the power semigroups of a class of groups, characterizes the maximal semilattice decomposition, and gets some results about filter and completely prime ideal. As a special case, the paper gets the conclusion of Putcha.M.S. about the maximal semilattice decomposition of the power semigroup of a finite group.

关 键 词：群 幂半群 滤子 完全素理想 半格分解 

分 类 号：O152.7[理学—数学]