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

     

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 2, 2024, págs. 291-303
• Idioma: inglés
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• 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.