Splitting of operations for Hom-diassociative and Hom-triassociative Algebras
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909985351401472 |
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| author | Hamdouni, Abdelkader Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou |
| author_facet | Hamdouni, Abdelkader Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou |
| contents | Hom-quadri dendriform algebras and Hom-six-dendriform agebras are introduced and studied which is a splitting of a Hom-diassociative and Hom-triassociative algebras, respectively. Moreover we explore the connections be tween these categories of Hom-algebras. Finally We elaborate a classification of Hom-quadri-dendriform algebra in low dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00040 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Splitting of operations for Hom-diassociative and Hom-triassociative Algebras Hamdouni, Abdelkader Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou Rings and Algebras Hom-quadri dendriform algebras and Hom-six-dendriform agebras are introduced and studied which is a splitting of a Hom-diassociative and Hom-triassociative algebras, respectively. Moreover we explore the connections be tween these categories of Hom-algebras. Finally We elaborate a classification of Hom-quadri-dendriform algebra in low dimensional. |
| title | Splitting of operations for Hom-diassociative and Hom-triassociative Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2601.00040 |