Article
| Title: | A new approach to antisymmetric infinitesimal bialgebras (English) |
| Author: | Ma, Tianshui |
| Author: | Li, Bei |
| Author: | Li, Jie |
| Author: | Chen, Miaoshuang |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 755-764 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system. (English) |
| Keyword: | infinitesimal bialgebra |
| Keyword: | quasitriangular infinitesimal bialgebra |
| MSC: | 16T10 |
| MSC: | 16T25 |
| MSC: | 17B38 |
| idZBL: | Zbl 07729536 |
| idMR: | MR4632856 |
| DOI: | 10.21136/CMJ.2023.0232-22 |
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| Date available: | 2023-08-11T14:22:49Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151773 |
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