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Two Generalizations of Hopfian Abelian Groups
Andrey R. Chekhlov, Peter V. Danchev, Brendan Goldsmith +1
This paper targets to generalize the notion of Hopfian groups in the commutative case by defining the so-called {\bf relatively Hopfian groups} and {\bf weakly Hopfian groups}, and…
On perspective Abelian groups
Grigore Calugareanu, Andrey Chekhlov
As a special case of perspective R-modules, an Abelian goup is called perspective if isomorphic summands have a common complement. In this paper we describe many classes of such gr…
Generalizations of the Bassian and co-Bassian Properties for Abelian Groups
Andrey R. Chekhlov, Peter V. Danchev, Patrick W. Keef
Trying to finalize in some way the present subject, this paper targets to generalize substantially the notions of Bassian and co-Bassian groups by introducing the so-called finitel…