Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T17:00:18.895Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)