English

Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules

General Mathematics 2022-06-03 v1

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

Keywords

Cite

@article{arxiv.2206.01099,
  title  = {Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules},
  author = {Tamem Al-shorman and Malik Bataineh and Melis Bolat and Bayram Ali Ersoy},
  journal= {arXiv preprint arXiv:2206.01099},
  year   = {2022}
}