Additive groups of rings whose subrings are ideals

Shalom Feigelstock

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


An Abelian group G is called an SI-group if for every ring R with additive group R+ = G, every subring S of R is an ideal in R. A complete description is given of the torsion SI-groups, and the completely decomposable torsion free SI-groups. Results are obtained in other cases as well.

Original languageEnglish
Pages (from-to)477-481
Number of pages5
JournalBulletin of the Australian Mathematical Society
Issue number3
StatePublished - Jun 1997


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