On generalizations of graded second submodules

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-06-0092

Keywords:

Graded second submodules, Graded 2-absorbing submodules, Graded strongly 2-absorbing submodules, Graded 2-absorbing second submodules, Graded strongly 2-absorbing second submodules, Graded quasi 2-absorbing second submodules

Abstract

Let G be a group with identity e, R be a commutative G-graded ring with unity 1 and M be a G-graded R-module. In this article, we introduce and study two generalizations of graded second submodules, namely, graded 2-absorbing second submodules and graded strongly 2- absorbing second submodules. Also, we introduce and study the concept of graded quasi 2-absorbing second submodules, that is a generalization for graded strongly 2-absorbing second submodules.

Author Biography

Rashid Abu-Dawwas, Yarmouk University.

Dept. of Mathematics.

References

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Published

2020-11-12

How to Cite

[1]
M. . Refai and R. Abu-Dawwas, “On generalizations of graded second submodules”, Proyecciones (Antofagasta, On line), vol. 39, no. 6, pp. 1537-1554, Nov. 2020.

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Artículos