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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/2510.17216 |
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| _version_ | 1866911220698710016 |
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| author | Gai, Botong Wang, Shuanhong |
| author_facet | Gai, Botong Wang, Shuanhong |
| contents | In this paper, we mainly provide a new approache to construct Hom-Hopf algebras. For this, we introduce and study the notion of a left $(m,k)$-Hom-crossed product structure as a generalization of $k$-Hom-smash product structure. Then one combines this $(m,k)$-Hom-crossed product structure and a left $m$-Hom-smash coproduct structure to build Radford $[(m,k),m]$-biproduct theorem. Finally, we study Hom admissible mappping system to characterize this Radford $[(m,k),m]$-biproduct structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radford $[(m,k),m]$-biproduct Theorem for Generalized Hom-crossed Products Gai, Botong Wang, Shuanhong Rings and Algebras In this paper, we mainly provide a new approache to construct Hom-Hopf algebras. For this, we introduce and study the notion of a left $(m,k)$-Hom-crossed product structure as a generalization of $k$-Hom-smash product structure. Then one combines this $(m,k)$-Hom-crossed product structure and a left $m$-Hom-smash coproduct structure to build Radford $[(m,k),m]$-biproduct theorem. Finally, we study Hom admissible mappping system to characterize this Radford $[(m,k),m]$-biproduct structure. |
| title | Radford $[(m,k),m]$-biproduct Theorem for Generalized Hom-crossed Products |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2510.17216 |