On graded Ie-prime submodules of graded modules over graded commutative rings
Copyright policy )On graded Ie-prime submodules of graded modules over graded commutative rings
Let G be a group with identity e. Let R be a G-graded commutative ring with identity and M a graded R-module. We introduce the concept of graded Ie-prime submodule as a generalization of a graded prime submodule for I =?g?G Ig a fixed graded ideal of R. We give a number of results concerning this class of graded submodules and their homogeneous components. A proper graded submodule N of M is said to be a graded Ie-prime submodule of M if whenever rg ? h(R) and mh ? h(M) with rgmh ? N ? IeN, then either rg ? (N :R M) or mh ? N.
graded \(I_e\)-prime submodules, Graded rings and modules (associative rings and algebras), graded \(I_e\)-primary submodules, FOS: Mathematics, graded prime submodules, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), graded \(I_e\)-prime ideals, Graded rings, graded primary submodules
graded \(I_e\)-prime submodules, Graded rings and modules (associative rings and algebras), graded \(I_e\)-primary submodules, FOS: Mathematics, graded prime submodules, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), graded \(I_e\)-prime ideals, Graded rings, graded primary submodules
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