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Notes on the Primal Submodules


Paper Type 
Contributed Paper
Title 
Notes on the Primal Submodules
Author 
Shahabaddin E. Atani and A. Yousefian Darani
Email 
yousefian@uma.ac.ir
Abstract:
In this note, we will make an intensive study of the notion of primal submodules of a module over a commutative ring with identity. First, a number of  results concerning of primal submodules are given. Second, for a commutative ring R, the notion of primal Multiplication (resp. generalized primal multiplication module) over R is defined. Also, the relation among the families of weak multiplication modules, primal multiplication modules and generalized primal multiplication modules over a commutative ring is considered.
Start & End Page 
399 - 410
Received Date 
2006-11-02
Revised Date 
Accepted Date 
2008-05-09
Full Text 
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Keyword 
primal, prime, multiplication
Volume 
Vol.35 No.3 (SEPTEMBER 2008)
DOI 
Citation 
Atani S.E. and Darani A.Y., Notes on the Primal Submodules, Chiang Mai Journal of Science, 2008; 35(3): 399-410.
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