Hashemi, JamalYari, Hossein2024-10-162024-10-162024-10-011576-9402https://riunet.upv.es/handle/10251/210346[EN] In this article, we introduce and study the concept of a semi-strongly irreducible ideal, a natural generalization of a strongly irreducible ideal. We say an ideal I of a commutative ring R is semi-strongly irreducible if for ideals J and K of R, the inclusion J ∩ K ⊆ I implies that either J2 ⊆ I or K2 ⊆ I. After some general results, the article focuses on semi-strongly irreducible ideals in rings of continuous functions.Reconocimiento - No comercial - Compartir igual (by-nc-sa)Pseudoprime idealStrongly irreducible idealSemi-strongly irreducible idealRings of continuous functionsArtículo10.4995/agt.2024.21264Abierto1989-4147