Radikal Prima-α Gabungan pada (R,S)-Modul

Given R and S are commutative rings, respectively, and (R,S)-module M with the property S = S and for each a ∈ M satisfy a ∈ RaS. A proper (R,S)-submodule P of M is called jontly α-prime (R,S)submodules if for each r ∈ R and m ∈M with r(m+m)S ⊆ P implies r + r ∈ (P :R M) or m + m ∈ P . If M has a jontly α-prime (R,S)submodules then the jointly α-prime radical of M is M or is the intersection of all jontly α-prime (R,S)-submodule of M . In this article, we present some properties of jointly α-prime radicals of an (R,S)module. Furthermore, at the end of this article, the jointly α-prime radical properties of a left multiplication (R,S)-module are presented.