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On gr-n-submodules of graded modules over graded commutative rings

Year: 2024

Type: article

Abstract: Let G be a group with identity e. Let ℜ be a G-graded commutative ring, ℑ be a graded ℜ -module. In this paper, we introduce and study the concept of graded n-submodules of ℑ. We obtain many results concerning graded n-submodules. Some characterizations of graded n-submodules and their homogeneous components are given. A proper graded submodule U of ℑ is said to be a graded n-submodule if whenever r ∈ h(ℜ), m ∈ h(ℑ) with rm ∈ U and r ∉ Gr(Annℜ(ℑ)), then m ∈ U.

Source: Proyecciones (Antofagasta)

DOI: 10.22199/issn.0717-6279-6222

Authors: Mariam Al-Azaizeh, Khaldoun Falah Al-Zoubi

Institutions: University of Jordan, Jordan University of Science and Technology

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402739722

FWCI:

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