On super and hereditarily hopfian and co-hopfian Abelian groups

B. Goldsmith, K. Gong

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The notions of Hopfian and co-Hopfian groups have been of interest for some time. In this present work we characterize the more restricted classes of hereditarily Hopfian (co-Hopfian) and super Hopfian (co-Hopfian) groups in the case where the groups are Abelian.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalArchiv der Mathematik
Volume99
Issue number1
DOIs
Publication statusPublished - Jul 2012
Externally publishedYes

Keywords

  • Abelian groups
  • Hereditarily co-Hopfian groups
  • Hereditarily Hopfian groups
  • Super co-Hopfian groups
  • Super Hopfian groups

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