On Graded classical 2-absorbing second submodules of graded modules over graded commutative rings

Abstract

Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded classical and graded strongly classical 2-absorbing second submodules of graded modules over a graded commutative rings. A number of results concerning these classes of graded submodules and their homogeneous components are given.

arXiv admin note: text overlap with arXiv:2101.12572

References in corpus (2)

• Some generalizations of second submodules
• Classical 2-absorbing submodules of modules over commutative rings

Cited by in corpus (1)

• Graded Lie-Rinehart algebras