Research Communication | Open Access
Volume 2021 | Communication ID 272
Hopfian Abelian Groups
Seddik Abdelalim
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 01, 2021
February 15, 2021
March 15, 2021

Abstract: An abelian group A is called hopfian if for every epimorphism α of A is an automorphism. In this work we determine some properties of the hopfian abelian group. Then we charterize a hopfian abelian group in the category of algebraically compact abelian group.