On weakly (m, n)−closed δ−primary ideals of commutative rings
Author
Hamoda, Mohammad
Issoual, Mohammed
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/550910.22199/issn.0717-6279-5509
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.