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Research Paper | Mathematics | India | Volume 6 Issue 2, February 2017 | Rating: 6.3 / 10
Chain Conditions on Fuzzy G-Modules
Souriar Sebastian | Prathish Abraham
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.
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
Edition: Volume 6 Issue 2, February 2017,
Pages: 2151 - 2153