On Variations of m, n-Totally Projective Abelian p-Groups

Peter Danchev

We define some new classes of p-torsion Abelian groups which are closely related to the definitions of n-totally projective, strongly n-totally projective and m; n-totally projective groups introduced by P. Keef and P. Danchev in J. Korean Math. Soc. (2013). We also study their critical properties, one of which is the so-named Nunke’s-esque property.