On \(SI\)-groups

Authors

  • R. R. Andruszkiewicz University of BiaÅ‚ytok
  • M. Woronowicz University of BiaÅ‚ytok

Keywords:

\(SI\)-groups, \(H\)-rings, ideals

Abstract

This paper presents new results concerning the structure of \(SI\)-groups, and refines and purifies the results obtained in this field by Shalom Feigelstock ['Additive groups of rings whose subrings are ideals' Bull. Austral. Math. Soc. \(55\) (1997), 477-481]. The structure theorem describing torsion-free \(SI\)-groups is proved in the associative case. Numerous examples of \(SI\)-groups are given. Some inconsistencies in Feigelstock's article are noted and removed. DOI: 10.1017/S0004972714000641

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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