The Zariski Topology on the Graded Primary Spectrum Over Graded Commutative Rings
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Abstract Let G be a group with identity e and let R be a G-graded ring. A proper graded ideal P of R is called a graded primary ideal if whenever rgsh∈P, we have rg∈ P or sh∈ Gr(P), where rg,sg∈ h(R). The graded primary spectrum p.Specg(R) is defined to be the set of all graded primary ideals of R.In this paper, we define a topology on p.Specg(R), called Zariski topology, which is analogous to that for Specg(R), and investigate several properties of the topology.
2019 ◽
Vol 19
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pp. 2050111
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2016 ◽
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pp. 335-351
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2000 ◽
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pp. 73-94
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2008 ◽
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pp. 477-483
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2018 ◽
Vol 1
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pp. 415-438