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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 3PP: 265-279 • 2025

The Zariski topology on the graded second spectrum of a graded module

Saif Salam 1* ,
Khaldoun Al-Zoubi 1
1Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan
* Corresponding Author.
Received: March 09, 2024 Revised: June 04, 2024 Accepted: October 20, 2024

Abstract

Let R be a G-graded ring and M be a G-graded R-module. The graded second spectrum of M, denoted by Specs G(M), is the set of all graded second submodules of M. In this paper, we define a topology on Specs G(M) which is analogous to that for SpecG(R), and investigate several topological properties of this topology.

Keywords

Graded second submodules Graded second spectrum Graded prime submodules Zariski topology

References

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[14] S. Salam and K. Al-Zoubi, The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring, Applied General Topology 23(2) (2022), 345-361.

[15] F. Van Oystaeyen, Methods in ring theory. Vol. 129. Springer Science and Business Media, 2012

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Salam, Saif, Al-Zoubi, Khaldoun. "The Zariski topology on the graded second spectrum of a graded module." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 265-279. DOI: https://doi.org/10.54216/IJNS.250324
Salam, S., Al-Zoubi, K. (2025). The Zariski topology on the graded second spectrum of a graded module. International Journal of Neutrosophic Science, Volume 25(Issue 3), 265-279. DOI: https://doi.org/10.54216/IJNS.250324
Salam, Saif, Al-Zoubi, Khaldoun. "The Zariski topology on the graded second spectrum of a graded module." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 265-279. DOI: https://doi.org/10.54216/IJNS.250324
Salam, S., Al-Zoubi, K. (2025) 'The Zariski topology on the graded second spectrum of a graded module', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 265-279. DOI: https://doi.org/10.54216/IJNS.250324
Salam S, Al-Zoubi K. The Zariski topology on the graded second spectrum of a graded module. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):265-279. DOI: https://doi.org/10.54216/IJNS.250324
S. Salam, K. Al-Zoubi, "The Zariski topology on the graded second spectrum of a graded module," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 265-279, 2025. DOI: https://doi.org/10.54216/IJNS.250324
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