New results on MV -semimodules

Recently, we introduced a new definition of MV -semimodules [۸]. In this paper, we study A-ideals in MV -semimodules and Q-ideals in semirings. Then we verify the relationship between ideals of semirings and ideals of MV -algebras. Finally, we obtain some results on A-ideals that could be proved by the old definitions only under certain conditions.