l-群中的奇异元  

Singular elements of an l group

作　　者：吕新民[1] 

机构地区：[1]南方冶金学院理学系,赣州341000

出　　处：《商丘师专学报》2000年第2期54-56,共3页

摘　　要：设G是l 群 ,0 <g∈G称为奇异的 ,如果对于 a∈G且 0 <a≤g aΛ(g -a) =0 .研究l 群中奇异元的性质 .并证明如下结果 :任意可换l 群均可l 嵌入到某个不含奇异元的l 群之中 ,且这种lLet G be an l group, 0<g∈G is said to be a singular element,if for any x∈G and 0≤x<g implies xΛ(g-x)=0 .Two extremes of G that each element of G is singular or G contains no singular element are described.Moreover the method that integer is extended to rational number is applied to attain the more important result that each Abelian l group can be embedded to the l group that contains no singular elements.

关 键 词：奇异元 L-群 可换l-群 格序群 

分 类 号：O152.5[理学—数学]