JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 1, Pages 63 - 75
(February 2017) http://dx.doi.org/10.17654/NT039010063 |
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GRADED ALMOST 2-ABSORBING STRUCTURES
Malik Bataineh and Rashid Abu-Dawwas
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Abstract: Let G be a group, R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded almost 2-absorbing submodules and introduce several properties for such submodules. A proper graded R-submodule N of a graded R-module M is said to be a graded almost 2-absorbing submodule if whenever and such that then or or Also, we introduce the concept of graded almost 2-absorbing ideals and introduce some properties of such ideals. A proper graded ideal P of a graded ring R is said to be a graded almost 2-absorbing ideal if whenever such that then or or
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Keywords and phrases: graded almost 2-absorbing ideals, graded almost 2-absorbing submodules, graded 2-absorbing ideals, graded 2-absorbing submodules, graded prime ideals, graded prime submodules. |
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