On strongly Pseudo Nearly_2_Absorbing submodules

Let G be a module over a commutative ring R with identity. A proper submodule A of G is Strongly Pseudo Nearly_2_Absorbing (denoted by STPN_2_AG) submodule, if for a, b ∈ R and y ∈ G with aby ∈ A, implies that either ay ∈ A + (J(G) ∩ soc (G)) or by ∈ A + (J (G) ∩ soc (G)) or abG ⊆ A + (J (G) ∩ soc(G)), this concept is a generalization of 2_Absorbing submodule and strong form of Pseudo_2_Absorbing and Nearly_2_Absorbing submodules. We study in this paper the relation between STPN_2_Absorbing submodule and 2_Absorbing, Pseudo_2_Absorbing, and Nearly_2_Absorbing submodules. Also, we introduced many characterizations of STPN_2_AG submodule in some type of modules.