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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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| URI: | https://cronfa.swan.ac.uk/Record/cronfa62800 |
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2023-03-07T08:47:57.8671817 v2 62800 2023-03-06 Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2023-03-06 SMA 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. Book chapter Springer Proceedings in Mathematics & Statistics 103 110 Springer Nature Singapore Singapore 9789811947506 9789811947513 2194-1009 2194-1017 30 1 2023 2023-01-30 10.1007/978-981-19-4751-3_7 http://dx.doi.org/10.1007/978-981-19-4751-3_7 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University National Science Centre, Poland 2019/35/B/ST1/01115 2023-03-07T08:47:57.8671817 2023-03-06T13:37:45.4854010 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzezinski 0000-0001-6270-3439 1 62800__26759__7ee68a3c9fbf4d8e80d15092a38d1562.pdf 62800.pdf 2023-03-06T15:14:28.7343461 Output 246740 application/pdf Accepted Manuscript true false eng |
| title |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
| spellingShingle |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras Tomasz Brzezinski |
| title_short |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
| title_full |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
| title_fullStr |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
| title_full_unstemmed |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
| title_sort |
Homothetic Rota–Baxter Systems and Dyck$$^m$$-Algebras |
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30466d840b59627325596fbbb2c82754 |
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30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski |
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Tomasz Brzezinski |
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Tomasz Brzezinski |
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Springer Proceedings in Mathematics & Statistics |
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103 |
| publishDate |
2023 |
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Swansea University |
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9789811947506 9789811947513 |
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2194-1009 2194-1017 |
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10.1007/978-981-19-4751-3_7 |
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Springer Nature Singapore |
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Faculty of Science and Engineering |
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http://dx.doi.org/10.1007/978-981-19-4751-3_7 |
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| description |
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. |
| published_date |
2023-01-30T04:23:10Z |
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1763663927940481024 |
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11.013776 |