Fuzzy Semimaximal Submodules

Maysoun A. Hamel; Hatam Y. Khalaf

doi:10.30526/33.4.2518

Authors

Maysoun A. Hamel
Hatam Y. Khalaf

DOI:

https://doi.org/10.30526/33.4.2518

Keywords:

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 .

Abstract

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 .