Γα,β-BE-Algebras
The concept of Γα,β-BE-algebra is introduced as a generalization of a Γα-BE-algebra and a Γβ-BE-algebra and its properties are studied. We introduced the concepts of α,β-subalgebra and α,β-filter of a Γα,β-BE-algebra and discussed the relation between these two concepts. We provided conditions for a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4270107 |
| _version_ | 1797870011593785344 |
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| author | Ravikumar Bandaru Jeong Gi Kang Amal S. Alali Young Bae Jun |
| author_facet | Ravikumar Bandaru Jeong Gi Kang Amal S. Alali Young Bae Jun |
| author_sort | Ravikumar Bandaru |
| collection | DOAJ |
| description | The concept of Γα,β-BE-algebra is introduced as a generalization of a Γα-BE-algebra and a Γβ-BE-algebra and its properties are studied. We introduced the concepts of α,β-subalgebra and α,β-filter of a Γα,β-BE-algebra and discussed the relation between these two concepts. We provided conditions for an α,β-subalgebra to be an α,β-filter. We provided equivalent conditions for the formation of an α,β-filter from a nonempty subset of a Γα,β-BE-algebra. We introduced the concept of α,β-atomic Γα,β-BE-algebra and studied its properties. We introduced the concept of atomic α,β-filter a Γα,β-BE-algebra and gave the necessary and sufficient condition for an α,β-filter to be atomic. |
| first_indexed | 2024-04-10T00:21:38Z |
| format | Article |
| id | doaj.art-fb26b499aab049e0afd0e093059af744 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-10T00:21:38Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-fb26b499aab049e0afd0e093059af7442023-03-16T00:01:20ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/4270107Γα,β-BE-AlgebrasRavikumar Bandaru0Jeong Gi Kang1Amal S. Alali2Young Bae Jun3Department of MathematicsDepartment of Mathematics EducationDepartment of Mathematical SciencesDepartment of Mathematics EducationThe concept of Γα,β-BE-algebra is introduced as a generalization of a Γα-BE-algebra and a Γβ-BE-algebra and its properties are studied. We introduced the concepts of α,β-subalgebra and α,β-filter of a Γα,β-BE-algebra and discussed the relation between these two concepts. We provided conditions for an α,β-subalgebra to be an α,β-filter. We provided equivalent conditions for the formation of an α,β-filter from a nonempty subset of a Γα,β-BE-algebra. We introduced the concept of α,β-atomic Γα,β-BE-algebra and studied its properties. We introduced the concept of atomic α,β-filter a Γα,β-BE-algebra and gave the necessary and sufficient condition for an α,β-filter to be atomic.http://dx.doi.org/10.1155/2023/4270107 |
| spellingShingle | Ravikumar Bandaru Jeong Gi Kang Amal S. Alali Young Bae Jun Γα,β-BE-Algebras Journal of Mathematics |
| title | Γα,β-BE-Algebras |
| title_full | Γα,β-BE-Algebras |
| title_fullStr | Γα,β-BE-Algebras |
| title_full_unstemmed | Γα,β-BE-Algebras |
| title_short | Γα,β-BE-Algebras |
| title_sort | γα β be algebras |
| url | http://dx.doi.org/10.1155/2023/4270107 |
| work_keys_str_mv | AT ravikumarbandaru gabbealgebras AT jeonggikang gabbealgebras AT amalsalali gabbealgebras AT youngbaejun gabbealgebras |