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Graded pseudo weakly prime spectrum of graded topological modules

  • Al-Shorman, Tamem [1] ; Bataineh, Malik [2] ; Bolat, Melis [3] ; Ersoy, Bayram Ali [4]
    1. [1] King Fahd University of Petroleum and Minerals

      King Fahd University of Petroleum and Minerals

      Arabia Saudí

    2. [2] Jordan University of Science and Technology

      Jordan University of Science and Technology

      Jordania

    3. [3] Gelişim Üniversitesi

      Gelişim Üniversitesi

      Turquía

    4. [4] Yıldız Technical University

      Yıldız Technical University

      Turquía

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 2, 2024, págs. 291-303
  • Idioma: inglés
  • DOI: 10.4995/agt.2024.19074
  • Enlaces
  • Resumen
    • In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski topology. Different aspects of this topological space are investigated, and they are linked to the algebraic properties of the G-graded R-modules under study.

  • Referencias bibliográficas
    • R. Abu-dawwas, Zariski topology on the spectrum of graded pseudo prime submodules, Bol. Soc. Parana. Mat. 39 (2021), 17-26. https://doi.org/10.5269/bspm.39909
    • R. Abu-dawwas, and M. Bataineh, Graded r-ideals, Iranian Journal of Mathematical Sciences and Informatics 14, no. 2 (2019), 1-8.
    • R. Abu-dawwas R, E. Yıldız, Ü. Tekir, and S. Koç, On graded 1-absorbing prime ideals, Sao Paulo Journal of Mathematical Sciences 15 (2021),...
    • S. E. Atani, On graded prime submodules, Chiang Mai J. Sci 33, no. 1 (2006), 3-7.
    • S. E. Atani, On graded weakly prime ideals, Turkish Journal of Mathematics 30, no. 4 (2006), 351-358.
    • S. E. Atani, On graded weakly prime submodules, Int. Math 1, no. 2 (2006), 61-66. https://doi.org/10.12988/imf.2006.06007
    • J. Escoriza, and B. Torrecillas, Multiplication objects in commutative Grothendieck categories, Communications in Algebra 26, no. 6 (1998),...
    • F. Farzalipour, and P. Ghiasvand, On the union of graded prime submodules, Thai Journal of Mathematics 9, no. 1 (2011), 49-55. https://doi.org/10.5402/2011/939687
    • R. Gordon, and E. L. Green, Graded Artin algebras, Journal of Algebra 76, no. 1 (1982), 111-137. https://doi.org/10.1016/0021-8693(82)90240-X
    • C. Nastasescu, and F. Van Oystaeyen, Methods of graded rings, Springer, 2004. https://doi.org/10.1007/b94904
    • N. A. Ozkirisci, K. H. Oral, and Ü Tekir, Graded prime spectrum of a graded module, Iranian Journal of Science 37 (2013), 411-420.
    • Ü. Tekir, The Zariski topology on the prime spectrum of a module over noncommutative rings, Algebra Colloquium 16, no. 4 (2009), 691-698....
    • R. N. Uregen, Ü. Tekir, K. P. Shum, and S. Koç, On graded 2-absorbing quasi primary ideals, Southeast Asian Bulletin of Mathematics 43, no....
    • E. Yıldız, B. A. Ersoy, Ü. Tekir, and S. Koç, On S-Zariski topology, Communications in Algebra 49, no. 3 (2021), 1212-1224. https://doi.org/10.1080/00927872.2020.1831006

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