Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918236132474880 |
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| author | Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou |
| author_facet | Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou |
| contents | This paper explores the link between Hom-rhizaform algebras and Rota-Baxter operators. We define a new structure, the Hom-rhizaform family algebra, which is a more general version of the Hom-rhizaform algebra. The main finding is that Rota-Baxter operators can be used to construct new Hom-rhizaform algebras. This work expands the theory of Hom-algebras by showing a new way to apply Rota-Baxter operators. Finally, we establish the classification of these algebras as well as their corresponding cocycle cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras Basdouri, Imed Jendoubi, Mariem Damdji, Ahmed Zahari Abdou Rings and Algebras This paper explores the link between Hom-rhizaform algebras and Rota-Baxter operators. We define a new structure, the Hom-rhizaform family algebra, which is a more general version of the Hom-rhizaform algebra. The main finding is that Rota-Baxter operators can be used to construct new Hom-rhizaform algebras. This work expands the theory of Hom-algebras by showing a new way to apply Rota-Baxter operators. Finally, we establish the classification of these algebras as well as their corresponding cocycle cones. |
| title | Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2512.06798 |