On weakly (m, n)−closed δ−primary ideals of commutative rings

• Hamoda, Mohammad ^[1] ; Issoual, Mohammed ^[2]
  1. [1] Al-Aqsa University

     Al-Aqsa University

     Territorios Palestinos

     
  2. [2] Centre Régional des Métiers de l'Education et de la Formation Rabat-Sale-Kenitra
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1289-1306
• Idioma: inglés
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• Resumen

  • Let R be a commutative ring with 1 ̸= 0. In this article, we introduce the concept of weakly (m, n)−closed δ−primary ideals of R and explore its basic properties. We show that a proper ideal I of R is a weakly (m, n)−closed γ ◦ δ−primary ideal of R if and only if I is an (m, n)−closed γ ◦ δ−primary ideal of R, where δ and γ are expansions ideals of R with δ(0) is an (m, n)−closed γ−primary ideal of R. Furthermore, we provide examples to demonstrate the validity and applicability of our results.