Description

• Title:
  A note on the square subgroups of decomposable torsion-free abelian groups of rank three
• Creator:
  Woronowicz, Mateusz
• Description:
  A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases of associative and general rings). It is shown that for any such a group A, the quotient group modulo the square subgroupof A is a nil-group. Some results listed in [16] are generalized and corrected. Moreover, it is proved that for a given abelian group A, the square subgroup of A considered in the class of associative rings, is a characteristic subgroup of A.
• Object availability:
  free access
• Date:
  2017.10.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English;
  eng
• Source:
  Annales Mathematicae Silesianae; Vol 32 (2018); 319-331;
  Annales Mathematicae Silesianae; Tom 32 (2018); 319-331;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13930/10621
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13930
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other