奇异元的几个特征

Some Characteristics of Singular Elements

G是l-群,0<s∈G称为奇异的,如果对于任意a∈G,0≤a≤sa∧(s-a)=0.G称为奇异的,如果对于任意0<g∈G,存在G的奇异元s,使得g≥s.本文研究了奇异元的几个特征性质及相关奇异l-群的结构.

Let G be an l-group,0<s∈G is said to be singular,if for any a∈G,0≤a≤sa∧(s-a)=0.G is said to be singular,if for any0<g∈G,there exists a singular element s∈G such that g≥s.Some characteristics of singular elements and related structures of singular l-groups in this paper are studied.