Homothetic Rota-Baxter systems and Dyck$^m$-algebras
Rings and Algebras
2021-12-02 v1 Quantum Algebra
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 (2021) 2150176] are a special case of Rota-Baxter systems [T. Brzezi\'nski, J. Algebra 460 (2016), 1-25]. The latter are enriched by homothetisms and then shown to give examples of Dyck-algebras.
Keywords
Cite
@article{arxiv.2112.00332,
title = {Homothetic Rota-Baxter systems and Dyck$^m$-algebras},
author = {Tomasz Brzeziński},
journal= {arXiv preprint arXiv:2112.00332},
year = {2021}
}
Comments
8 pages, submitted to the proceeding of the 14-th International Workshop "Lie Theory and Its Applications in Physics" (LT-14), 21-25 June 2021, Sofia, Bulgaria (on-line)