On Some Results of a Torsion-Free Abelian Kernel Group

Abstract

In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G. A torsion-free abelian group Gis a kernel group if MGGM,kerfor every pure fully invariant subgroup Mof .GThispapershall give further results and characterizations of the direct sum of a kernel and kernel groups of a torsion-free abelian group.

Keywords

• kernel
• kernel group
• torsion-free abelian group
• direct sum
• pure fully invariant