New resultes for T-prime fuzzy modules

In this paper, A topic for Τ-fuzzy prime submodule was studied, which is one for the types for partial fuzzy models. This work was divided into three sections, each for which has a study that begins by giving an introduction to the topic & then giving the basic definitions & then explaining the details for the topic for Τ-fuzzy prime submodule supported by valuable & important examples & observations from What is important is to consolidate that concept. The final section deals with finding the relationship between this concept Τ-fuzzy prime submodule with some other concepts such as the concept multiplication fuzzy module & also the concept for maximal fuzzy ideal. This section has also been enhanced with many nonexamples, observations, & properties that prove that relationship. Finally, many examples & observations were given that demonstrate & serve to demonstrate & prove this concept. This is considered a reinforcement & confirmation for those properties & observations that were addressed in the body for this research, citing many sources that are related to this concept for ours.