Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 302
Pure semi simple abelian group
Abderrahim Bouzendaga
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2261
April 15, 2261

Abstract: If B subgroup of an abelian A , B is called Pure subgroup if the intersection of B and nA equals nB for all n ∈ N*. We know that direct summand is pure subgroup but in the other way, the result is not true. For that we construct an abelian group such that a pure subgroup isn’t direct summand. After we introduce a pure semi simple abelian group. An ablian groupe is said a pure semi simple abelian if every pure subgroup is direct summand, finally we charcterize pure semi simple abelian group in the categorie of torsion abelian groups.