LS-Extending Fuzzy Modules

Hassan K. Marhon^1,*

¹Ministry of Education, Resafa, Syria  

Email: hassanmath316@gmail.com

Abstract

The main aim of this paper is extend the notion of S-extending fz-modules into LS-extending fz-modules and study this new notion. This lead us introduce and study other notions such as: purely semisimple, purely extending and purely y-extending fz-modules. Moreover, the relationships LS-extending fz-module with the various types.

Keywords: LS-extending fz-module; Pure fz-sumodule; CS-fzmodules