Graded semiprime multiplication modules
Copyright policy )Graded semiprime multiplication modules
Let $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded $R$-module $M$ is said to be graded semiprime multiplication if $M$ has no graded semiprime $R$-submodules or for every graded semiprime $R$-submodule $N$ of $M$, $N=IM$ for some graded ideal $I$ of $R$. We introduce several results concerning graded semiprime submodules and we investigate them to present several results on graded semiprime multiplication modules.
- Yarmouk University Jordan
Study of properties and structures of commutative rings, Deformations and Structures of Hom-Lie Algebras, graded semiprime submodules, Semiprime, Multiplication (music), Cluster Algebras and Triangulated Categories, graded multiplication modules, Epistemology, graded modules, graded semiprime multiplication modules, Modular Tensor Categories, Prime (order theory), QA1-939, FOS: Mathematics, Ideal (ethics), Algebra and Number Theory, Arithmetic, Semiprime ring, Graded rings and modules (associative rings and algebras), Pure mathematics, FOS: Philosophy, ethics and religion, Philosophy, Combinatorics, Physical Sciences, Geometry and Topology, Mathematics
Study of properties and structures of commutative rings, Deformations and Structures of Hom-Lie Algebras, graded semiprime submodules, Semiprime, Multiplication (music), Cluster Algebras and Triangulated Categories, graded multiplication modules, Epistemology, graded modules, graded semiprime multiplication modules, Modular Tensor Categories, Prime (order theory), QA1-939, FOS: Mathematics, Ideal (ethics), Algebra and Number Theory, Arithmetic, Semiprime ring, Graded rings and modules (associative rings and algebras), Pure mathematics, FOS: Philosophy, ethics and religion, Philosophy, Combinatorics, Physical Sciences, Geometry and Topology, Mathematics
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