Small subsemimodule and some related concepts

Previously, some authors have studied the concept of small submodules regarding semirings. This research aims to provide a comprehensive study of small modules and some related concepts as: cosemisimple semiring, semimodule with finite spanning dimension, small free semimodule and small projective semimodule. These concepts are implemented and studied in various modules. Then we convert it to semimodule and give some results.