格序群的本质子群  

Essential Subgroups of l-Groups

作　　者：吕新民[1] 吕新华[2] 

机构地区：[1]南方冶金学院理学院,江西赣州341000 [2]湖北省建始县第一中学,湖北建始445300

出　　处：《南方冶金学院学报》2003年第2期56-58,共3页Journal of Southern Institute of Metallurgy

摘　　要：G是一个格序群(简称l-群),C(G)是G的凸l-子群格.E∈C(G)称为本质的,如果对于C∈C(G),且E∩C=0,则C=0.本文通过本质子群的刻划,研究了本质子群的几个特征及由本质子群所决定的l-群的结构.G being an l-group,C(G)is the lattice of all convex l-subgr ou ps with G.E∈C(G)is said to be essential,if for every C∈C(G)and E∩C=0 ,then C=0,By describing essential subgroups in this paper,we study some characteristic of essential subgroups and the structure of l-groups that is det ermined by essential subgroups.

关 键 词：格序群 本质子群 极小凸l-子群 o—群 

分 类 号：O152[理学—数学]