Andrey CHEKHLOV, Peter DANCHEV

85103

$n$-Hopfian and $n$-co-Hopfian Abelian Groups

For any natural number $n$ we define and study the two notions of $n$-Hopfian and $n$-co-Hopfian abelian groups. These groups form proper subclasses of the classes of Hopfian and co-Hopfian groups, respectively, and some of their exotic properties are established as well. We also consider and investigate $\omega$-Hopfian and $\omega$-co-Hopfian modules over the formal matrix ring.
Keywords:

$n$-Hopfian groups, Hopfian groups $n$-co-Hopfian groups, co-Hopfian groups,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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