Zariski topology on the spectrum of fuzzy classical primary submodules

• Panpho, Phakakorn ^[1] ; Yiarayong, Pairote ^[1]
  1. [1] Pibulsongkram Rajabhat University

     Pibulsongkram Rajabhat University

     Tailandia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 333-343
• Idioma: inglés
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• Resumen

  • Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy classical prime submodules. In this paper, we topologize FM(M) with a topology having the fuzzy primary Zariski topology on the fuzzy classical primary spectrum F cp.spec(M) as a subspace topology, and investigate the properties of this topological space.