The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

• Salam, Saif ^[1] ; Al-Zoubi, Khaldoun ^[1]
  1. [1] Jordan University of Science and Technology

     Jordan University of Science and Technology

     Jordania

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 345-361
• Idioma: inglés
• DOI: 10.4995/agt.2022.16332
• Enlaces
  • Texto completo
• Resumen

  • Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M) having the Zariski topology on the graded prime spectrum SpecG(M) as a subspace topology, and investigate several topological properties of this topological space.

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