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ON SI-GROUPS
Published online by Cambridge University Press: 12 September 2014
Abstract
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This paper presents new results concerning the structure of $\text{SI}$-groups and refines and purifies the results obtained in this field by Shalom Feigelstock [‘Additive groups of rings whose subrings are ideals’, Bull. Aust. Math. Soc.55 (1997), 477–481]. The structure theorem describing torsion-free $\text{SI}$-groups is proved in the associative case. Numerous examples of $\text{SI}$-groups are given. Some inconsistencies in Feigelstock’s article are noted and corrected.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 92 - 103
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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