Skew braces, near-rings, skew rings, dirings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915869093789696 |
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| author | Facchini, Alberto |
| author_facet | Facchini, Alberto |
| contents | We introduce a new point of view to present classical notions related to set-theoretic solutions of the Yang-Baxter equation: left skew braces, dirings, left skew rings. The idea is to replace the single multiplication on a left near-ring by two operations, one associative and the other left distributive. Two algebraic structures naturally appear: left skew rings and left weak rings, whose categories turn out to be canonically isomorphic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22182 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skew braces, near-rings, skew rings, dirings Facchini, Alberto Rings and Algebras 16Y30, 16T25, 18E13, 20N99 We introduce a new point of view to present classical notions related to set-theoretic solutions of the Yang-Baxter equation: left skew braces, dirings, left skew rings. The idea is to replace the single multiplication on a left near-ring by two operations, one associative and the other left distributive. Two algebraic structures naturally appear: left skew rings and left weak rings, whose categories turn out to be canonically isomorphic. |
| title | Skew braces, near-rings, skew rings, dirings |
| topic | Rings and Algebras 16Y30, 16T25, 18E13, 20N99 |
| url | https://arxiv.org/abs/2507.22182 |