Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras
In this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel L-ideal ξ on A, we obtain the least and the largest L-congruen...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7668044 |
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| author | Teferi Getachew Alemayehu Derso Abeje Engidaw Gezahagne Mulat Addis |
| author_facet | Teferi Getachew Alemayehu Derso Abeje Engidaw Gezahagne Mulat Addis |
| author_sort | Teferi Getachew Alemayehu |
| collection | DOAJ |
| description | In this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel L-ideal ξ on A, we obtain the least and the largest L-congruences on A having ξ as its kernel. |
| format | Article |
| id | doaj-art-dc3f72324b52412ea407c8c08ec32b07 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-dc3f72324b52412ea407c8c08ec32b072025-02-03T05:53:50ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7668044Kernel L-Ideals and L-Congruence on a Subclass of Ockham AlgebrasTeferi Getachew Alemayehu0Derso Abeje Engidaw1Gezahagne Mulat Addis2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel L-ideal ξ on A, we obtain the least and the largest L-congruences on A having ξ as its kernel.http://dx.doi.org/10.1155/2022/7668044 |
| spellingShingle | Teferi Getachew Alemayehu Derso Abeje Engidaw Gezahagne Mulat Addis Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras Journal of Mathematics |
| title | Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras |
| title_full | Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras |
| title_fullStr | Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras |
| title_full_unstemmed | Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras |
| title_short | Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras |
| title_sort | kernel l ideals and l congruence on a subclass of ockham algebras |
| url | http://dx.doi.org/10.1155/2022/7668044 |
| work_keys_str_mv | AT teferigetachewalemayehu kernellidealsandlcongruenceonasubclassofockhamalgebras AT dersoabejeengidaw kernellidealsandlcongruenceonasubclassofockhamalgebras AT gezahagnemulataddis kernellidealsandlcongruenceonasubclassofockhamalgebras |