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Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras
Tomasz Brzezinski 
Springer Proceedings in Mathematics & Statistics, Pages: 103 - 110
Swansea University Author:
Tomasz Brzezinski
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DOI (Published version): 10.1007/978-981-19-4751-3_7
Abstract
It is shown that generalized Rota–Baxter operators introduced in [W. A. Martinez, E. G. Reyes, M. Ronco, Int. J. Geom. Meth. Mod. Phys. 18, 2150176 (2021)] are a special case of Rota–Baxter systems [T. Brzeziński, J. Algebra 460, 1–25 (2016)]. The latter are enriched by homothetisms and then shown t...
| Published in: | Springer Proceedings in Mathematics & Statistics |
|---|---|
| ISBN: | 9789811947506 9789811947513 |
| ISSN: | 2194-1009 2194-1017 |
| Published: |
Singapore
Springer Nature Singapore
2023
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa62800 |
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| Abstract: |
It is shown that generalized Rota–Baxter operators introduced in [W. A. Martinez, E. G. Reyes, M. Ronco, Int. J. Geom. Meth. Mod. Phys. 18, 2150176 (2021)] are a special case of Rota–Baxter systems [T. Brzeziński, J. Algebra 460, 1–25 (2016)]. The latter are enriched by homothetisms and then shown to give examples of Dyck m -algebras. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
National Science Centre, Poland |
| Start Page: |
103 |
| End Page: |
110 |