An introduction to the theory of OBCI-algebras
The purpose of this paper was to introduce the concept of 'OBCI-algebras' as a partially ordered generalization of BCI-algebras. The notion of OBCI-algebras was introduced, and related properties were investigated. The notions of OBCI-subalgebras and (closed) OBCI-filters of OBCI-algebras...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241723 |
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| _version_ | 1832590760017395712 |
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| author | Eunsuk Yang Eun Hwan Roh Young Bae Jun |
| author_facet | Eunsuk Yang Eun Hwan Roh Young Bae Jun |
| author_sort | Eunsuk Yang |
| collection | DOAJ |
| description | The purpose of this paper was to introduce the concept of 'OBCI-algebras' as a partially ordered generalization of BCI-algebras. The notion of OBCI-algebras was introduced, and related properties were investigated. The notions of OBCI-subalgebras and (closed) OBCI-filters of OBCI-algebras were defined and the relationship between the OBCI-subalgebras and OBCI-filters was discussed. In addition, the direct product OBCI-algebra was discussed, and the OBCI-filter related to it was also addressed. |
| format | Article |
| id | doaj-art-94cbddd0569e487c9d054b1c987df22a |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-94cbddd0569e487c9d054b1c987df22a2025-01-23T07:53:26ZengAIMS PressAIMS Mathematics2473-69882024-12-01912363363635010.3934/math.20241723An introduction to the theory of OBCI-algebrasEunsuk Yang0Eun Hwan Roh1Young Bae Jun2Department of Philosophy, Jeonbuk National University, Jeonju 54896, KoreaDepartment of Mathematics Education, Chinju National University of Education, Jinju 52673, KoreaDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaThe purpose of this paper was to introduce the concept of 'OBCI-algebras' as a partially ordered generalization of BCI-algebras. The notion of OBCI-algebras was introduced, and related properties were investigated. The notions of OBCI-subalgebras and (closed) OBCI-filters of OBCI-algebras were defined and the relationship between the OBCI-subalgebras and OBCI-filters was discussed. In addition, the direct product OBCI-algebra was discussed, and the OBCI-filter related to it was also addressed.https://www.aimspress.com/article/doi/10.3934/math.20241723obci-algebrasubalgebraobci-subalgebrafilter(closed) obci-filter |
| spellingShingle | Eunsuk Yang Eun Hwan Roh Young Bae Jun An introduction to the theory of OBCI-algebras AIMS Mathematics obci-algebra subalgebra obci-subalgebra filter (closed) obci-filter |
| title | An introduction to the theory of OBCI-algebras |
| title_full | An introduction to the theory of OBCI-algebras |
| title_fullStr | An introduction to the theory of OBCI-algebras |
| title_full_unstemmed | An introduction to the theory of OBCI-algebras |
| title_short | An introduction to the theory of OBCI-algebras |
| title_sort | introduction to the theory of obci algebras |
| topic | obci-algebra subalgebra obci-subalgebra filter (closed) obci-filter |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241723 |
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