Additive groups of rings whose subrings are ideals

Shalom Feigelstock

doi:10.1017/s0004972700034110

Additive groups of rings whose subrings are ideals

Shalom Feigelstock

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English
Pages (from-to)	477-481
Number of pages	5
Journal	Bulletin of the Australian Mathematical Society
Volume	55
Issue number	3
DOIs	https://doi.org/10.1017/s0004972700034110
State	Published - Jun 1997

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abstract = "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.",

author = "Shalom Feigelstock",

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AB - 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.

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JO - Bulletin of the Australian Mathematical Society

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Additive groups of rings whose subrings are ideals

Abstract

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