International Journal of Neutrosophic Science

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Volume 25 , Issue 3 , PP: 265-279, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

Saif Salam 1 , Khaldoun Al-Zoubi 2 *

  • 1 Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan - (smsalam19@sci.just.edu.jo)
  • 2 Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan - (kfzoubi@just.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.250324

    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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    Cite This Article As :
    Salam, Saif. , Al-Zoubi, Khaldoun. The Zariski topology on the graded second spectrum of a graded module. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 265-279, 2025. DOI: https://doi.org/10.54216/IJNS.250324