A note on nearly Quasi-2-Absorbing submodules.

Ɍ stand in this note to be a commutative ring with identity and X be a unitary left Ɍ-module. Nearly quasi-2-Absorbing sub-modules was introduced in this note, were a proper sub-module Q is said to be Nearly quasi-2-Absorbing sub-module if whenever abcx ∈ Q, for a, b, c ∈ Ɍ, x ∈ X, implies either acx ∈ Q + J(X) or bcx ∈ Q + J (X) or abx ∈ Q + J (X). Many basic properties, examples of this concept are given. Several characterizations of Nearly quasi-2-Absorebing sub-modules are established. Moreover, characterizations of Nearly quasi-2-Absorbing sub-modules in class of multipliaction modules are established. Furthermore, we characterized Nearly quasi-2-Absorbing sub-modules by its residuals. Finally, we characterized Nearly quasi-2-Absorbing ideals by especial kind of Nearly quasi-2-Absorbing sub-modules. [ABSTRACT FROM AUTHOR]