Corpus ID: 237581560

The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

@inproceedings{Salam2021TheZT,
  title={The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring},
  author={Saif Salam and Khaldoun falah Al-Zoubi},
  year={2021}
}
Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M , denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM (Q) :R M) = Gr((Q :R M)). In this paper, we define a topology on PSG(M) having the Zariski topology on the graded prime spectrum SpecG(M) as a subspace topology, and investigate several topological properties of this topological space. 

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