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Zariski topology on the spectrum of graded classical prime submodules
- 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