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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Indecomposability of ideals in group rings


Author: M. M. Parmenter
Journal: Proc. Amer. Math. Soc. 91 (1984), 543
MSC: Primary 16A26
MathSciNet review: 746086
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Abstract: Let $ H$ be a subgroup of $ G$ and let $ I$ be the (two-sided) ideal of $ {\mathbf{Z}}G$ generated by $ \omega ({\mathbf{Z}}H)$. In this note, we show that $ I$ is indecomposable as an ideal in $ {\mathbf{Z}}G$. This extends a result of Linnell [1] and simplifies his argument somewhat.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0746086-7
PII: S 0002-9939(1984)0746086-7
Article copyright: © Copyright 1984 American Mathematical Society



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