On the graded classical prime spectrum of a graded module.

Authors

Keywords:

Graded classical prime submodule, Graded classical prime spectrum, Zariski topology

Abstract

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.

Author Biographies

Khaldoun Al-Zoubi, Jordan University of Science and Technology.

Department of Mathematics and Statistics.

Malik Jaradat, Jordan University of Science and Technology.

Department of Mathematics and Statistics.

References

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Published

2018-09-25

How to Cite

[1]
K. Al-Zoubi and M. Jaradat, “On the graded classical prime spectrum of a graded module.”, Proyecciones (Antofagasta, On line), vol. 37, no. 3, pp. 519-533, Sep. 2018.

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Section

Artículos