TY - JOUR T1 - On the Graded Primal Avoidance Theorem TT - JF - IJMSI JO - IJMSI VL - 16 IS - 2 UR - http://ijmsi.ir/article-1-1291-en.html Y1 - 2021 SP - 117 EP - 124 KW - Graded primal submodules KW - Graded primal avoidance KW - Graded $P_{L}$-compactly packed modules N2 - Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we generalize the graded primary avoidance theorem for modules to the graded primal avoidance theorem for modules. we also introduce the concept of graded $P_{L}$-compactly packed modules and give a number of its properties. M3 10.52547/ijmsi.16.2.117 ER -