Answers are grounded in this paper and cite their sources.
Defines and explores the properties of nontrivial generalizations of co-Hopfian abelian groups, indicating novel characteristics.
We define the concept of an [Formula: see text]-co-Hopfian abelian group, which is a nontrivial generalization of the classical notion of a co-Hopfian group. A systematic and comprehensive study of these groups is given in very different ways. Specifically, a representation theorem for [Formula: see text]-co-Hopfian groups is established as well as it is shown that there exists an [Formula: see text]-co-Hopfian group which is not co-Hopfian.
No takes yet. Share an insight, caveat, or question.
Chekhlov et al. (2017) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: