The graded classical prime spectrum with the Zariski topology as a Notherian topological space

M Jaradat - Iranian Journal of Mathematical Sciences and …, 2022 - ijmsi.ir
Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a
graded R-module. The graded classical prime spectrum Cl. Spec g (M) is defined to be the …

[PDF][PDF] On graded S-prime submodules of graded modules over graded commutative rings

K Al-Zoubi, M Al-Azaizeh - Adv. Math. Sci. J., 2021 - research-publication.com
Let G be an abelian group with identity e. Let R be a G-graded commutative ring with
identity, M a graded R-module and S⊆ h (R) a multiplicatively closed subset of R. In this …

The Zariski Topology on Cl. Spec_g (M) as a Spectral Space

M Jaradat - Iranian Journal of Mathematical Sciences and …, 2024 - ijmsi.ir
Let G be a group, R be a G-graded commutative ring with identity, M be a unitary graded R-
module, Spec g (R) be the set of graded prime ideals of R, and Cl. Spec g (M) be the set of …

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

K Al-Zoubi, M Al-Azaizeh - Afrika Matematika, 2022 - Springer
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 …