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

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-5509

Keywords:

δ−primary ideal, weakly 2−absorbing ideal, weakly n−absorbing ideal

Abstract

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.

Author Biographies

Mohammad Hamoda, Al-Aqsa University.

Department of Mathematics, Faculty of Applied Science.

Mohammed Issoual, Centre Régional des Métiers de l'Education et de la Formation Rabat-Sale-Kenitra

Department of Mathematics.

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Published

2023-09-13

How to Cite

[1]
M. Hamoda and M. Issoual, “On weakly (m, n)−closed δ−primary ideals of commutative rings”, Proyecciones (Antofagasta, On line), vol. 42, no. 5, pp. 1289-1306, Sep. 2023.

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Section

Artículos