New results on prime A-ideals in MV -semimodules

Recently, we introduced a new definition of MV -semimodules [۸]. In this paper, we study prime A-ideals in MV -semimodules, and we obtain some results that could be proved by the old definitions only under certain conditions. Finally, we present some equivalent conditions for having prime A-ideals in MV -semimodules.

کلیدواژه ها:

MV -semiring ، MV -semimodule ، Q-ideal ، prime A-ideal