Generalized NS-algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913442924855296 |
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| author | Ospel, Cyrille Panaite, Florin Vanhaecke, Pol |
| author_facet | Ospel, Cyrille Panaite, Florin Vanhaecke, Pol |
| contents | We generalize to arbitrary categories of algebras the notion of an NS-algebra. We do this by using a bimodule property, as we did for defining the general notions of a dendriform and tridendriform algebra. We show that several types of operators lead to NS-algebras: Nijenhuis operators, twisted Rota-Baxter operators and relative Rota-Baxter operators of arbitrary weight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_07530 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Generalized NS-algebras Ospel, Cyrille Panaite, Florin Vanhaecke, Pol Rings and Algebras 17A30, 17B38 We generalize to arbitrary categories of algebras the notion of an NS-algebra. We do this by using a bimodule property, as we did for defining the general notions of a dendriform and tridendriform algebra. We show that several types of operators lead to NS-algebras: Nijenhuis operators, twisted Rota-Baxter operators and relative Rota-Baxter operators of arbitrary weight. |
| title | Generalized NS-algebras |
| topic | Rings and Algebras 17A30, 17B38 |
| url | https://arxiv.org/abs/2103.07530 |