Open AccessOn generalizations of graded second submodules
Author(s) -
Mashhoor Refai,
Rashid Abu-Dawwas
Publication year - 2020
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2020-06-0092
Subject(s) - generalization , commutative ring , mathematics , identity (music) , pure mathematics , graded ring , ring (chemistry) , commutative property , algebra over a field , mathematical analysis , physics , chemistry , organic chemistry , acoustics
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.