On Minimal Semi neat Subgroups

Abstract

In [1] Abdulla Hattem gave some  new results of minimal neat subgroups of Abelian G . 'L. Fuchs '' poses the problem of characterizing the subgroups of an Aealian group G which are intersections of finitely many pure subgroups of G (problem 13, p. 134 ) . This problem has been solved by ''Khalid Benabdallah'' and John Irwin (see[2]) . In this paper we shall give the generalization of the problem solved by Khalid Benabdallah . Firstly we shall give the definition of such subgroups which are called almost almostdense in G .