Graded pseudo weakly prime spectrum of graded topological modules

[EN] In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski topology. Different aspects of this topo...

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Detalles Bibliográficos
Autores: Al-Shorman, Tamem, Bataineh, Malik, Bolat, Melis, Ersoy, Bayram Ali
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/210125
Acceso en línea:https://riunet.upv.es/handle/10251/210125
Access Level:acceso abierto
Palabra clave:Graded spectrum
Zariski topology
Graded weakly prime submodules
Graded pseudo weakly prime submodules
Descripción
Sumario:[EN] In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski topology. Different aspects of this topological space are investigated, and they are linked to the algebraic properties of the G-graded R-modules under study.