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Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras
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 |
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ISBN: | 9789811947506 9789811947513 |
ISSN: | 2194-1009 2194-1017 |
Published: |
Singapore
Springer Nature Singapore
2023
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Online Access: |
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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 |