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http://dx.doi.org/10.7858/eamj.2011.27.1.075

ON FUZZY PRIME SUBMODULES OF FUZZY MULTIPLICATION MODULES  

Lee, Dong-Soo (Department of Mathematics University of Ulsan)
Park, Chul-Hwan (Department of Mathematics University of Ulsan)
Publication Information
East Asian mathematical journal / v.27, no.1, 2011 , pp. 75-82 More about this Journal
Abstract
In this paper, we will introduce the concept of fuzzy mulitplication module. We will define a new operation called a product on th family of all fuzzy submodules of a fuzzy mulitplication module. We will define a fuzzy subset of the idealization ring R+M and find some relations with the product of fuzzy submodules and product of fuzzy ideals of the idealization ring R+M. Some properties of weakly fuzzy prime submoduels and fuzzy prime submodules which are de ned by T.K.Mukherjee M.K.Sen and D.Roy will be introduced. We will investigate some properties of fuzzy prime submodules of a fuzzy multiplication module.
Keywords
Fuzzy multiplication module; the idealization of module; fuzzy prime submodule;
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  • Reference
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