Open AccessOn The Intersection of Semi-Pure Subgroups of Abelian Group
Author(s) -
H. M. A. Abdullal,
Luma J. Barghooth
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.si.1.26
Subject(s) - abelian group , mathematics , intersection (aeronautics) , combinatorics , group (periodic table) , pure mathematics , physics , geography , cartography , quantum mechanics
The following question was raised by L.Fuchs: "what are the subgroups of an abelian group G that can be represented as intersections of pure subgroups of G ? . Fuchs also added that “One of my main aims is to give the answers to the above question". In this paper, we shall define new subgroups which are a family of the pure subgroups. Then we shall answer problem 2 of L.Fuchs by these semi-pure subgroups which can be represented as the intersections of pure subgroups.