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Journal of the London Mathematical Society 2006 73(1):48-64; doi:10.1112/S0024610705022544
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© The London Mathematical Society

Superdecomposable Pure-Injective Modules and Integral Group Rings

Gena Puninski, Vera Puninskaya and Carlo Toffalori

Department of Mathematics, The Ohio State University at Lima 435 Galvin Hall, 4240 Campus Drive, Lima, OH 45804, USA puninskiy.1{at}osu.edu
Department of Mathematics and Informatics, Università di Camerino Via Madonna delle Carceri 9, 62032 Camerino, Italy vera.puninskaya{at}unicam.it
Department of Mathematics and Informatics, Università di Camerino Via Madonna delle Carceri 9, 62032 Camerino, Italy carlo.toffalori{at}unicam.it

Received 13 April 2004.

We prove that if G is a non-trivial finite group, then the integral group ring ZG possesses a superdecomposable pure-injective module.

School of Mathematics, University of Manchester, Lamb Building, Booth Street East, Manchester M13 9PL, United Kingdom


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