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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.18180 |
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| _version_ | 1866915129360121856 |
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| author | Fayoumi, Hiba F. Rezaei, Akbar |
| author_facet | Fayoumi, Hiba F. Rezaei, Akbar |
| contents | In this note, we consider a triple construction $(\ad;\star,ε(0))$ on a $d$-algebra $(A;\ast,0)$ and investigate some of their properties. Applying this construction to a $d$-transitive $d$-algebra, we show that $(\ad; <)$ is a poset, which induces a $BCK$-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A triple construction on $d$-algebras Fayoumi, Hiba F. Rezaei, Akbar Rings and Algebras 20N02 In this note, we consider a triple construction $(\ad;\star,ε(0))$ on a $d$-algebra $(A;\ast,0)$ and investigate some of their properties. Applying this construction to a $d$-transitive $d$-algebra, we show that $(\ad; <)$ is a poset, which induces a $BCK$-algebra. |
| title | A triple construction on $d$-algebras |
| topic | Rings and Algebras 20N02 |
| url | https://arxiv.org/abs/2501.18180 |