The Zariski Topology on Cl. Spec_g(M) as a Spectral Space

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Jaradat Malik

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2024 | Volume:19 | Issue:2 Page(s): 13-39

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Title

The Zariski Topology on Cl. Spec_g(M) as a Spectral Space

Author(s)

Jaradat Malik | Issue Writer Certificate

Keywords

Graded classical prime submodule

Graded classical prime spectrum

Zariski topology

Abstract

Let G be a group, R be a G-graded commutative ring with identity, M be a unitary graded R-module, Specg(R) be the set of graded prime ideals of R, and Cl. Specg(M) be the set of all Graded classical prime submodules of M. In this paper among other things, the author studied the Zariski topology on both and Cl. Specg(M), and investigate some properties of the Zariski topology on Cl. Specg(M) and some conditions under which the Graded classical prime spectrum of M is a spectral for its Zariski topology.

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