دوره 17، شماره 2 - ( 6-1401 )
جلد 17 شماره 2 صفحات 233-213 |
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Jaradat M. The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space. IJMSI 2022; 17 (2) :213-233
URL: http://ijmsi.ir/article-1-1456-fa.html
URL: http://ijmsi.ir/article-1-1456-fa.html
The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space. مجله علوم ریاضی و انفورماتیک. 1401; 17 (2) :213-233
چکیده:
Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian topological space.
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