On super and hereditarily hopfian and co-hopfian Abelian groups

Abstract

The notions of Hopfian and co-Hopfian groups have been of interest for some time. In this present work we characterize the more restricted classes of hereditarily Hopfian (co-Hopfian) and super Hopfian (co-Hopfian) groups in the case where the groups are Abelian.Mathematics Subject Classification (2010). Primary 20K10; Secondary 20K15, 20K21.