BiHom-$Ω$-associative algebras and related structures
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909169404084224 |
|---|---|
| author | Liu, Jiaqi Zhang, Yuanyuan |
| author_facet | Liu, Jiaqi Zhang, Yuanyuan |
| contents | In this paper, we first propose the concepts of BiHom-$Ω$-associative algebras, BiHom-$Ω$-dendriform algebras, BiHom-$Ω$-pre-Lie algebras and BiHom-$Ω$-Lie algebras. We then obtain a new BiHom-$Ω$-associative (resp. Lie) algebra by defining a new multiplication on a BiHom-$Ω$-associative (resp. Lie) algebra with the Rota-Baxter family of weight $λ$.In addition, we generalize the classical relationships of associative algebras, pre-Lie algebras, dendriform algebras and Lie algebras to the BiHom-$Ω$ version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BiHom-$Ω$-associative algebras and related structures Liu, Jiaqi Zhang, Yuanyuan Rings and Algebras 16W99, 16S10 In this paper, we first propose the concepts of BiHom-$Ω$-associative algebras, BiHom-$Ω$-dendriform algebras, BiHom-$Ω$-pre-Lie algebras and BiHom-$Ω$-Lie algebras. We then obtain a new BiHom-$Ω$-associative (resp. Lie) algebra by defining a new multiplication on a BiHom-$Ω$-associative (resp. Lie) algebra with the Rota-Baxter family of weight $λ$.In addition, we generalize the classical relationships of associative algebras, pre-Lie algebras, dendriform algebras and Lie algebras to the BiHom-$Ω$ version. |
| title | BiHom-$Ω$-associative algebras and related structures |
| topic | Rings and Algebras 16W99, 16S10 |
| url | https://arxiv.org/abs/2404.09176 |