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SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS

Published online by Cambridge University Press:  22 February 2006

GENA PUNINSKI ,
VERA PUNINSKAYA  and
CARLO TOFFALORI
GENA PUNINSKI
Affiliation:
Department of Mathematics, The Ohio State University at Lima, 435 Galvin Hall, 4240 Campus Drive, Lima, OH 45804, [email protected] School of Mathematics, University of Manchester, Lamb Building, Booth Street East, Manchester M13 9PL, United Kingdom
VERA PUNINSKAYA
Affiliation:
Department of Mathematics and Informatics, Università di Camerino, Via Madonna delle Carceri 9, 62032 Camerino, [email protected]
CARLO TOFFALORI
Affiliation:
Department of Mathematics and Informatics, Università di Camerino, Via Madonna delle Carceri 9, 62032 Camerino, [email protected]
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Abstract

We prove that if G is a non-trivial finite group, then the integral group ring $\mathbb{Z} G$ possesses a superdecomposable pure-injective module.

Keywords

16D5016S3416G30
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 48 - 64
Copyright
The London Mathematical Society 2006

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