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

Author(s):

Malik Jaradat*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Graded Classical Prime Submodule , Graded Classical Prime Spectrum , Zariski Topology

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
13 to 39
https://www.magiran.com/p2761606