On generalizations of graded second submodules
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-06-0092Keywords:
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 submodulesAbstract
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.
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