Fuzzy Annihilator Ideals of C-Algebra
In this paper, we introduce the concept of relative fuzzy annihilator ideals in C-algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C-algebras forms Heything algebra. We observe that the...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/7481960 |
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| author | Wondwosen Zemene Norahun Teferi Getachew Alemayehu Gezahagne Mulat Addis |
| author_facet | Wondwosen Zemene Norahun Teferi Getachew Alemayehu Gezahagne Mulat Addis |
| author_sort | Wondwosen Zemene Norahun |
| collection | DOAJ |
| description | In this paper, we introduce the concept of relative fuzzy annihilator ideals in C-algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C-algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. Moreover, we study the concept of fuzzy annihilator preserving homomorphism. We provide a sufficient condition for a homomorphism to be a fuzzy annihilator preserving. |
| format | Article |
| id | doaj-art-60ef8819793244729ab4626de229c7f2 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-60ef8819793244729ab4626de229c7f22025-02-03T01:24:51ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/74819607481960Fuzzy Annihilator Ideals of C-AlgebraWondwosen Zemene Norahun0Teferi Getachew Alemayehu1Gezahagne Mulat Addis2Department of Mathematics, University of Gondar, Gondar, EthiopiaDepartment of Mathematics, Debre Berehan University, Debre Berhan, EthiopiaDepartment of Mathematics, University of Gondar, Gondar, EthiopiaIn this paper, we introduce the concept of relative fuzzy annihilator ideals in C-algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C-algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. Moreover, we study the concept of fuzzy annihilator preserving homomorphism. We provide a sufficient condition for a homomorphism to be a fuzzy annihilator preserving.http://dx.doi.org/10.1155/2021/7481960 |
| spellingShingle | Wondwosen Zemene Norahun Teferi Getachew Alemayehu Gezahagne Mulat Addis Fuzzy Annihilator Ideals of C-Algebra Advances in Fuzzy Systems |
| title | Fuzzy Annihilator Ideals of C-Algebra |
| title_full | Fuzzy Annihilator Ideals of C-Algebra |
| title_fullStr | Fuzzy Annihilator Ideals of C-Algebra |
| title_full_unstemmed | Fuzzy Annihilator Ideals of C-Algebra |
| title_short | Fuzzy Annihilator Ideals of C-Algebra |
| title_sort | fuzzy annihilator ideals of c algebra |
| url | http://dx.doi.org/10.1155/2021/7481960 |
| work_keys_str_mv | AT wondwosenzemenenorahun fuzzyannihilatoridealsofcalgebra AT teferigetachewalemayehu fuzzyannihilatoridealsofcalgebra AT gezahagnemulataddis fuzzyannihilatoridealsofcalgebra |