Graded pseudo weakly prime spectrum of graded topological modules

Al-Shorman T., Bataineh M., ÇAMLIOĞLU M., ERSOY B. A.

Applied General Topology, vol.25, no.2, pp.291-303, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.4995/agt.2024.19074
  • Journal Name: Applied General Topology
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals, DIALNET
  • Page Numbers: pp.291-303
  • Keywords: graded pseudo weakly prime submodules, graded spectrum, graded weakly prime sub-modules, Zariski topology
  • Yıldız Technical University Affiliated: Yes

Abstract

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. Dif-ferent aspects of this topological space are investigated, and they are linked to the algebraic properties of the G-graded R-modules under study.