A generalization of strongly irreducible ideals with a view towards rings of continuous functions
| Autor: | Jamal Hashemi, Hossein Yari |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Applied General Topology, Vol 25, Iss 2, Pp 491-501 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1576-9402 1989-4147 |
| DOI: | 10.4995/agt.2024.21264 |
| Popis: | In this note, 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. |
| Databáze: | Directory of Open Access Journals |
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