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The additive groups of subdirectly irreducible rings II

Published online by Cambridge University Press:  17 April 2009

Shalom Feigelstock
Shalom Feigelstock
Affiliation:
Department of Mathematics, Bar-IIan University, Ramat-Gan, Israel.
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Abstract

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The classification of strongly subdirectly irreducible rings, which was begun in a previous paper, is completed by showing that a mixed group G is strongly subdirectly irreducible if and only if G ⋍ Z(p∞) ⊕ H, H a rank one, p-divisible, torsion free nil group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 407 - 409
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Feigelstock, Shalom, “The additive groups of subdirectly irreducible rings”, Bull. Austral. Math. Soc. 20 (1979), 165–170.Google Scholar
[2]Fuchs, László, Infinite abelian groups, Volume II (Pure and Applied Mathematics, 36–11. Academic Press, New York and London, 1973)Google Scholar