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A generalization of graded prime submodules over non-commutative graded rings. (English) Zbl 1443.16048
Summary: 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 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.
##### MSC:
 16W50 Graded rings and modules (associative rings and algebras) 13A02 Graded rings
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