Hilbert Implication Algebra and Some Properties
The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is inves...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3635185 |
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| _version_ | 1832561385291120640 |
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| author | Dejen Gerima Tefera |
| author_facet | Dejen Gerima Tefera |
| author_sort | Dejen Gerima Tefera |
| collection | DOAJ |
| description | The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is investigated. Ideals and filters in Hilbert implication algebras are also discussed. In general, different theorems which show different properties are proved. |
| format | Article |
| id | doaj-art-c5f0b06528574db58d602508d6ca673e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c5f0b06528574db58d602508d6ca673e2025-02-03T01:25:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422021-01-01202110.1155/2021/36351853635185Hilbert Implication Algebra and Some PropertiesDejen Gerima Tefera0Department of Mathematics, Wollo University, College of Natural Science, Dessie, EthiopiaThe concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is investigated. Ideals and filters in Hilbert implication algebras are also discussed. In general, different theorems which show different properties are proved.http://dx.doi.org/10.1155/2021/3635185 |
| spellingShingle | Dejen Gerima Tefera Hilbert Implication Algebra and Some Properties Journal of Applied Mathematics |
| title | Hilbert Implication Algebra and Some Properties |
| title_full | Hilbert Implication Algebra and Some Properties |
| title_fullStr | Hilbert Implication Algebra and Some Properties |
| title_full_unstemmed | Hilbert Implication Algebra and Some Properties |
| title_short | Hilbert Implication Algebra and Some Properties |
| title_sort | hilbert implication algebra and some properties |
| url | http://dx.doi.org/10.1155/2021/3635185 |
| work_keys_str_mv | AT dejengerimatefera hilbertimplicationalgebraandsomeproperties |