On semilattices of groups, II
Sándor Lajos · Proceedings of the Japan Academy Series A Mathematical Sciences · 1971
This note is a continuation of, and is written in the same termi- nology as, the author's earlier paper [1].There was proved the following result.Theorem A. A semigroup S is a semilattice of groups if and only if the intersection of any two bi-ideals of S equals to their product.This criterion has the following consequence.Corollary.Let S be a semilattice of groups.Then( 1 )holds for any k hi-ideals B1, ., B of S (l is an arbitrary fixed positive integer greater than one).