| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2023-08-11T14:22:49Z |
| Last updated:
|
2025-10-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151773 |
| . |
| Reference:
|
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| . |
