Right groups and the set-theoretic Yang-Baxter equation
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866916044731318272 |
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| author | Albano, Andrea Facchini, Alberto Mazzotta, Marzia Stefanelli, Paola |
| author_facet | Albano, Andrea Facchini, Alberto Mazzotta, Marzia Stefanelli, Paola |
| contents | In this paper, we provide techniques to obtain left non-degenerate set-theoretic solutions of the Yang-Baxter equation, drawing on the class of right groups. To this end, we introduce the new algebraic structures of left $RG$-semibraces, which include left (cancellative) semibraces as a proper subclass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25660 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Right groups and the set-theoretic Yang-Baxter equation Albano, Andrea Facchini, Alberto Mazzotta, Marzia Stefanelli, Paola Group Theory Rings and Algebras In this paper, we provide techniques to obtain left non-degenerate set-theoretic solutions of the Yang-Baxter equation, drawing on the class of right groups. To this end, we introduce the new algebraic structures of left $RG$-semibraces, which include left (cancellative) semibraces as a proper subclass. |
| title | Right groups and the set-theoretic Yang-Baxter equation |
| topic | Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2605.25660 |