Abstract

AL-ZOUBI, Khaldoun  and  JARADAT, Malik. On the graded classical prime spectrum of a graded module. Proyecciones (Antofagasta) [online]. 2018, vol.37, n.3, pp.519-533. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172018000300519.

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.

Keywords : Graded classical prime submodule; graded classical prime spectrum; Zariski topology..

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