GRADED PRIMAL SUBMODULES OF GRADED MODULES Darani, Ahmad Yousefian;
Let G be an abelian monoid with identity e. Let R be a G-graded commutative ring, and M a graded R-module. In this paper we first introduce the concept of graded primal submodules of M an give some basic results concerning this class of submodules. Then we characterize the graded primal ideals of the idealization R(+)M.
graded primary submodule;graded prime submodule;graded primal submodule;
D. D. Anderson and M. Winders, Idealization of a module, J. Commut. Algebra 1 (2009), no. 1, 3-56.