IMCS/Publications/BASM/Issues/BASM n.3 (67), 2011/

Topologies on Specg(M)

Authors: Ahmad Yousefian Darani


Let R be a G-graded commutative ring with identity and let M be a graded R-module. We endow Specg(M), the collection of all graded prime submodules of M, analogous to that for Spec(R), the spectrum of prime ideals of R, by two topologies: quasi-Zariski topology and Zariski topology. Then we study some properties of these topological spaces.

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