On the graded classical prime spectrum of a graded module.

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

     Jordan University of Science and Technology

     Jordania

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 3, 2018, págs. 519-533
• Idioma: inglés
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• Resumen

  • Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce and study a new topology on Cl.Specg(M), the collection of all graded classical prime submodules of M, called the Zariski-like topology. Then we investigate the relationship between algebraic properties of M and topological properties of Cl.Specg(M). Moreover, we study Cl.Specg(M) from point of view of spectral space.