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POOR MODULES: THE OPPOSITE OF INJECTIVITY

Published online by Cambridge University Press:  24 June 2010

ADEL N. ALAHMADI ,
MUSTAFA ALKAN  and
SERGIO LÓPEZ-PERMOUTH
ADEL N. ALAHMADI
Affiliation:
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia e-mail: analahmadi@kau.edu.sa
MUSTAFA ALKAN
Affiliation:
Department of Mathematics, Akdeniz University, Antalya, Turkey e-mail: alkan@akdeniz.edu.tr
SERGIO LÓPEZ-PERMOUTH
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, USA e-mail: lopez@math.ohiou.edu
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Abstract

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A module M is called poor whenever it is N-injective, then the module N is semisimple. In this paper the properties of poor modules are investigated and are used to characterize various families of rings.

Keywords

16D5016D70
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue A: Rings and Modules in Honour of Patrick F. Smith's 65th Birthday , July 2010 , pp. 7 - 17
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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