In this paper, we will develop these results by setting appropriate conditions, and defining new properties, relating to our concept, for example (fully prime semimodule, fully essential semimodule and semi-complement subsemimodule) such that: if for each subsemimodule of 𝒯-semimodule 𝒲 is prime, then 𝒲 is fully prime. If every semi-essential subsemimodule of 𝒯-semimodule 𝒲 is essential then 𝒲 is fully essential. Finally, a prime subsemimodule ℋ of 𝒲 is called semi-relative intersection complement (briefly, semi-complement) of subsemimodule 𝒱 in 𝒲, if 𝒱∩ ℋ= 0, and whenever 𝒱∩ ℬ= 0 with ℬ is a prime subsemimodule in 𝒲, ℋ⊆ ℬ, then ℋ= ℬ. Furthermore, some results about the above concepts have been mentioned.