ميسون عبد هامل
PhD
-
assistant professor
College of Education for Pure Sciences (Ibn Al-Haitham)
,
Department of Mathematics
[email protected]
Publication Date
Tue Oct 20 2020
Fuzzy Semimaximal Submodules
Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if Mâ„(Nis a semisimple R-module ).The main objective of this work is to fuzzify this concept
study the basic properties and we investigate the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple
semisimple) F- submodules and quotient F- modules are introduced and given some properties .
Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if
the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are introduced and given some properties .
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Publication Date
Thu May 28 2020
Fuzzy Maximal Sub-Modules
(Simple
Semisimple) Fuzzy Modules
Quotient Fuzzy Modules
Maximal Fuzzy Submodule
In this paper, we introduce and study the notions of fuzzy quotient module, fuzzy (simple, semisimple) module and fuzzy maximal submodule. Also, we give many basic properties about these notions.
(2)
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