Abstract
The hopficity property in a well-known class of Abelian groups—completely decomposable torsion-free groups—as well as in a class of modules over generalized matrix rings is studied. Examples of non-Hopfian completely decomposable torsion-free group are constructed.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 5, pp. 61–68, 2015.
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Kaigorodov, E.V., Krylov, P.A. On Some Classes of Hopfian Abelian Groups and Modules. J Math Sci 230, 392–397 (2018). https://doi.org/10.1007/s10958-018-3745-9
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DOI: https://doi.org/10.1007/s10958-018-3745-9