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1. On graded 2-classical prime submodules of graded modules over graded commutative rings

Author

Khaldoun Al-Zoubi and Farah Al-Turman

Subjects
Pure mathematics, Mathematics::Commutative Algebra, Group (mathematics), Graded 2-classical prime submodule, General Mathematics, Mathematics::Rings and Algebras, 010103 numerical & computational mathematics, Commutative ring, Graded classical prime submodule, 01 natural sciences, Prime (order theory), 010101 applied mathematics, Identity (mathematics), Graded prime submodule, 0101 mathematics, Mathematics
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 2-classical prime submodules. Various properties of graded 2-classical prime submodules are considered.

Published
2019