The Generalization of
Divisible Subgroup
Naser Sh. Mhmood & Sinan
O. Al-Salihi
Abstract
In this paper, we introduced a new concept, which is a
semi-divisible subgroup, which is considered a
generalization of the divisible subgroup. This concept
will be adopted as a principal condition for
proving the Fuchs problem to solve the Q1: intersection
between divisible subgroups, in addition to presenting
many of important theorems specific to this concept.
Keyword: divisible, subgroup, direct sum, direct product
