[PDF][PDF] On graded classical 2-absorbing submodules of graded modules over graded commutative rings

K Al-Zoubi, M Al-Azaizeh - Rend. Istit. Mat. Univ. Trieste, 2018 - openstarts.units.it
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 will introduce the concept of graded classical 2-absorbing …

[PDF][PDF] The Zariski topology on the graded classical prime spectrum of a graded module over a graded commutative ring

K Al-Zoubi, M Jaradat - Mat. Vesnik, 2018 - elib.mi.sanu.ac.rs
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. A proper graded submodule N of M is called a graded classical prime if whenever r …

The homogeneous spectrum of a -graded commutative ring

M Aqalmoun - Beiträge zur Algebra und Geometrie/Contributions to …, 2023 - Springer
Abstract Let Z 2:= Z/2 Z be the additive group with two elements. In this article, we focus only
on Z 2-graded commutative ring ie commutative ring R such that R= R 0⊕ R 1 as Abelian …

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 …

[HTML][HTML] On graded classical B-2-absorbing submodules

K Al-Zoubi, M Ali, M Alkhatib - Heliyon, 2022 - cell.com
On graded classical B-2-absorbing submodules: Heliyon Skip to Main Content Advertisement
Heliyon All content is freely available to readers and supported through open access Submit …

[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 …

On topological lattices and their applications to module theory

J Abuhlail, C Lomp - Journal of Algebra and its Applications, 2016 - World Scientific
Yassemi's “second submodules” are dualized and properties of its spectrum are studied.
This is done by moving the ring theoretical setting to a lattice theoretical one and by …

On the graded classical prime spectrum of a graded module

K Al-Zoubi, M Jaradat - Proyecciones (Antofagasta), 2018 - SciELO Chile
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 and study a new topology on Cl. Specg (M), the …

On Gelfand graded commutative rings

M Aqalmoun - arXiv preprint arXiv:2209.14211, 2022 - arxiv.org
This paper deals with the graded commutative rings in which every homogeneous prime
ideal is contained in a unique homogeneous maximal ideal called Gelfand graded ring. The …

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 …