Volume no :28, Issue no: 1, July

Journal of Mathematical Sciences: Advances and Applications

ON GRADED 2-ABSORBING AND WEAKLY GRADED 2-ABSORBING SUBMODULES

Author's: Khaldoun Al-Zoubi and Rashid Abu-Dawwas
Pages: [45] - [60]
Received Date: March 6, 2014; Revised April 30, 2014
Submitted by:

Abstract

Let G be a group with identity e. Let R be a G-graded commutative ring and M be a graded R-module. In this paper, we introduce the concepts of graded 2-absorbing and weakly graded 2-absorbing submodules and study some of their properties.

Keywords

graded prime submodules, graded weakly prime submodules, graded 2-absorbing submodules, weakly graded 2-absorbing submodules.