On The Intersection of Semi-Pure Subgroups of Abelian Group
Iraqi Journal of Science
2020, Volume , Issue (Special Issue) The First Conference of Mathematics - 2020, Pages 196 -199
2020, Volume , Issue (Special Issue) The First Conference of Mathematics - 2020, Pages 196 -199
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.
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