… ABSTRACT Let G be a monoid with identity e, and let R be a G-graded commutative ring.
Here we study the graded prime submodules of a G-graded R-module. A number of results …

… In [6] and [7], multiplication graded modules were characterized. In this paper, we characterize
graded prime submodules and graded primary submodules of multiplication graded …

… We will characterize graded classical prime submodules. Also, we will find some relations
between graded classical prime submodules and graded prime submodules. For example, it …

… graded modules have no graded prime submodules and call such modules G-primeless (see
[7]). Also, graded … Since P is a graded prime submodule of M and ϕ(m) /∈ P , we get r ∈ (P …

… Here we denote the set of all graded prime R-submodules by GSpec(RM), in particular, we
… of all graded prime ideals of R. Also, A graded R-module M is called a graded multiplication R…

… Graded prime submodules of graded modules over graded … of graded quasi-prime
submodules and we investigate some properties of graded quasi-prime submodules of graded …

… Graded weakly prime ideals in a G-graded commutative ring … graded weakly prime
submodules of a G-graded R-module. A number of results concerning of these class of submodules …

… It is evident that every graded prime submodule is graded classical prime. However the
next example shows that a graded classical prime submodule is not necessarily graded prime. …

… concept of graded prime submodules, see for example [1, 3, 4, 7]. A proper … graded prime
submodule is a graded weakly prime submodule, and every graded weakly prime submodule …

… The scope of this paper is devoted to the theory of graded modules over graded … the
concept of graded Ie-prime submodule as a new generalization of a graded prime submodule. A …