A Generalization of Graded Prime Submodules over Non-Commutative Graded Rings

Let G be a group with identity e. Let R be an associative G-graded ring and M be a G-graded R-module. In this article, we intruduce the concept of graded ۲-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.

کلیدواژه ها:

graded prime submodule ، graded ۲-absorbing submodule ، graded strongly ۲-absorbing submodule