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A generalization of strongly irreducible ideals with a view towards rings of continuous functions

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A generalization of strongly irreducible ideals with a view towards rings of continuous functions

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dc.contributor.author Hashemi, Jamal es_ES
dc.contributor.author Yari, Hossein es_ES
dc.date.accessioned 2024-10-16T12:22:26Z
dc.date.available 2024-10-16T12:22:26Z
dc.date.issued 2024-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/210346
dc.description.abstract [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. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Compartir igual (by-nc-sa) es_ES
dc.subject Pseudoprime ideal es_ES
dc.subject Strongly irreducible ideal es_ES
dc.subject Semi-strongly irreducible ideal es_ES
dc.subject Rings of continuous functions es_ES
dc.title A generalization of strongly irreducible ideals with a view towards rings of continuous functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2024.21264
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Hashemi, J.; Yari, H. (2024). A generalization of strongly irreducible ideals with a view towards rings of continuous functions. Applied General Topology. 25(2):491-501. https://doi.org/10.4995/agt.2024.21264 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2024.21264 es_ES
dc.description.upvformatpinicio 491 es_ES
dc.description.upvformatpfin 501 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\21264 es_ES


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