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Chain Conditions on Fuzzy G-Modules
Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 2)Publication Date: 2017-02-05
Authors : Souriar Sebastian; Prathish Abraham;
Page : 2151-2153
Keywords : Fuzzy-G-Modules; Proper fuzzy G sub modules; minimal and maximal sub modules of a fuzzy G module; chain conditions for fuzzy G modules;
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Abstract
The concept of fuzzy G- Modules and its properties including complete reducibility, semi simplicity etc. are already defined. In this paper, the concept of minimal and maximal sub modules is defined on fuzzy Gmodules. The chain conditions for fuzzy G-modules are also defined and some properties of both ascending and descending chains of sub modules are established.
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