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Zariski topology on the spectrum of graded classical prime submodules

Authors :
Yousefian Darani, Ahmad
Motmaen, Shahram
Yousefian Darani, Ahmad
Motmaen, Shahram
Publication Year :
2013

Abstract

[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either am ¿ N or bm ¿ N. The spectrum of graded classical prime submodules of M is denoted by Cl.Specg(M). We topologize Cl.Specg (M) with the quasi-Zariski topology, which is analogous to that for Specg(R).

Details

Database :
OAIster
Notes :
TEXT, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1138424278
Document Type :
Electronic Resource