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

Handle

https://riunet.upv.es/handle/10251/187136

Cita bibliográfica

Salam, S.; Al-Zoubi, K. (2022). The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring. Applied General Topology. 23(2):345-361. https://doi.org/10.4995/agt.2022.16332

Titulación

Resumen

[EN] 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) :RM) = Gr((Q:RM)). 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.

Fuente

Applied General Topology issn: 1576-9402

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