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ON DUAL BAER MODULES

Published online by Cambridge University Press:  25 November 2009

DERYA KESKIN TÜTÜNCÜ  and
RACHID TRIBAK
DERYA KESKIN TÜTÜNCÜ
Affiliation:
Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey e-mail: keskin@hacettepe.edu.tr
RACHID TRIBAK
Affiliation:
Département de Mathématiques, Faculté des Sciences de Tétouan, B.P 21.21. Tétouan, Morocco e-mail: tribak12@yahoo.com
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Abstract

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In this paper we introduce -non-cosingular modules, dual Baer modules and -modules. We prove that a module M is lifting and -non-cosingular if and only if it is a dual Baer and -module. Rings for which all modules are dual Baer are precisely determined. We also give a necessary condition for a finite direct sum of dual Baer modules to be dual Baer.

Keywords

16D1016D8016E60
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 2 , May 2010 , pp. 261 - 269
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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