%0 Journal Article %A Thawatchai Khumprapussorn %D 2013 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 81, 2013 %T (R, S)-Modules and (1, k)-Jointly Prime (R, S)-Submodules %U https://publications.waset.org/pdf/16689 %V 81 %X We introduced the notions of (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule as a generalization of prime ideal and jointly prime (R, S)-submodule, respectively. We provide a relationship between (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule. Characterizations of (1, k)-jointly prime (R, S)- submodules are also given. %P 1404 - 1407