On The Intersection of Semi-Pure Subgroups of Abelian Group

  • H. M. A. Abdullal Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
  • Luma J. Barghooth Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
Keywords: Abelian group, Subgroups, Semi-pure subgroups, Minimal pure subgroup

Abstract

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.

Published
2020-05-17
How to Cite
AbdullalH. M. A., & BarghoothL. J. (2020). On The Intersection of Semi-Pure Subgroups of Abelian Group. Iraqi Journal of Science, 196-199. https://doi.org/10.24996/ijs.2020.SI.1.26