关于Huss定理的一个注记

A Note on Huss' Theorem

证明了l-群G的子群格S(G)是分配的当且仅当G群同构于Q的某个子群,由此给出了Gl-同构于Q的某个子群的充要条件。从而强化了Huss[1]中的主要结果。

By the distributivity of the lattice S(G) of all subgroups of an 1-group G, this paper gives the sufficient and necessary condition when G is 1- isomorphic to a subgroup of the additive rationals Q. And the main result of Huss in [1] is there by streng thened.