The Fuzzy Prime Spectrum of Partially Ordered Sets
We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2023/4526348 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547934980276224 |
|---|---|
| author | Derso Abeje Engidaw Gezahagne Mulat Addis Wondwosen Zemene Norahun Dereje Kifle Boku Habtu Bayafers Demrew Tewodros Argachew Degefa |
| author_facet | Derso Abeje Engidaw Gezahagne Mulat Addis Wondwosen Zemene Norahun Dereje Kifle Boku Habtu Bayafers Demrew Tewodros Argachew Degefa |
| author_sort | Derso Abeje Engidaw |
| collection | DOAJ |
| description | We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively. |
| format | Article |
| id | doaj-art-98bf4445744b44c6bdd45b88b3a4d1ef |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-98bf4445744b44c6bdd45b88b3a4d1ef2025-02-03T06:42:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/4526348The Fuzzy Prime Spectrum of Partially Ordered SetsDerso Abeje Engidaw0Gezahagne Mulat Addis1Wondwosen Zemene Norahun2Dereje Kifle Boku3Habtu Bayafers Demrew4Tewodros Argachew Degefa5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsWe study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.http://dx.doi.org/10.1155/2023/4526348 |
| spellingShingle | Derso Abeje Engidaw Gezahagne Mulat Addis Wondwosen Zemene Norahun Dereje Kifle Boku Habtu Bayafers Demrew Tewodros Argachew Degefa The Fuzzy Prime Spectrum of Partially Ordered Sets International Journal of Mathematics and Mathematical Sciences |
| title | The Fuzzy Prime Spectrum of Partially Ordered Sets |
| title_full | The Fuzzy Prime Spectrum of Partially Ordered Sets |
| title_fullStr | The Fuzzy Prime Spectrum of Partially Ordered Sets |
| title_full_unstemmed | The Fuzzy Prime Spectrum of Partially Ordered Sets |
| title_short | The Fuzzy Prime Spectrum of Partially Ordered Sets |
| title_sort | fuzzy prime spectrum of partially ordered sets |
| url | http://dx.doi.org/10.1155/2023/4526348 |
| work_keys_str_mv | AT dersoabejeengidaw thefuzzyprimespectrumofpartiallyorderedsets AT gezahagnemulataddis thefuzzyprimespectrumofpartiallyorderedsets AT wondwosenzemenenorahun thefuzzyprimespectrumofpartiallyorderedsets AT derejekifleboku thefuzzyprimespectrumofpartiallyorderedsets AT habtubayafersdemrew thefuzzyprimespectrumofpartiallyorderedsets AT tewodrosargachewdegefa thefuzzyprimespectrumofpartiallyorderedsets AT dersoabejeengidaw fuzzyprimespectrumofpartiallyorderedsets AT gezahagnemulataddis fuzzyprimespectrumofpartiallyorderedsets AT wondwosenzemenenorahun fuzzyprimespectrumofpartiallyorderedsets AT derejekifleboku fuzzyprimespectrumofpartiallyorderedsets AT habtubayafersdemrew fuzzyprimespectrumofpartiallyorderedsets AT tewodrosargachewdegefa fuzzyprimespectrumofpartiallyorderedsets |