Graded I-second submodules

Abstract

Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded second submodules of M and achieve some relevant outcomes.

Keywords

• graded second submodules
• graded prime submodules
• graded weakly prime submodules
• 16w50
• 13a02