The strongly invariant extending property for abelian groups

Abstract

We define three specific properties of abelian groups calling them strongly invariant extending property, intermediate fully invariant extending property and strongly intermediate fully invariant extending property. Some results concerning these concepts are proved as for the third one a complete necessary and sufficient condition is established. Our achievements somewhat extend results due to Birkenmeier et al. published in Comm. Algebra (2001).

Mathematics Subject Classification (2010):

• 20K10
• 20K20
• 20K21

Key words:

• fi-extending property
• si-extending property
• ifi-extending property