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Co-Semisimple Modules and Multiplication Modules


Paper Type 
Contributed Paper
Title 
Co-Semisimple Modules and Multiplication Modules
Author 
Phannika Leksing and Jintana Sanwong*
Email 
scmti004@chiangmai.ac.th
Abstract:
Let R be a commutative ring with identity 1. We say that M is a multiplication R-module if each submodule N of M has the form MI for some ideal I of R. In this paper, we give some characteriza-tions of co-semisimple modules, and look at some ring theoretic and module theoretic properties and try to see how they transfer between R, S and M in case M is a multiplication module and S is the ring of endomorphisms of M.
Start & End Page 
31 - 33
Received Date 
2001-11-23
Revised Date 
Accepted Date 
2002-02-04
Full Text 
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Keyword 
co-semisimple module, multiplication module.
Volume 
Vol.29 No.1 (APRIL 2002)
DOI 
Citation 
Leksing P. and Sanwong J., Co-Semisimple Modules and Multiplication Modules, Chiang Mai J. Sci., 2002; 29(1): 31-33.
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