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arXiv · 2607.29312

Monomial Rota-Baxter and averaging operators on $F[x, x^{-1}]$

Artem Khodzitskii
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Abstract

The study of Rota-Baxter operators on the polynomial algebra in one variable was initiated by S.H. Zheng, L. Guo, and M. Rosenkranz (2015). Monomial Rota-Baxter operators on $F[x]$ were classified in 2016, while monomial averaging operators on $F[x]$ and $F_0[x]$ were classified in 2024. In the current work, we continue the study of these operators on Laurent polynomial algebra $F[x, x^{-1}]$ over a field of arbitrary characteristic.

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Artem Khodzitskii. 2026-07-31. Monomial Rota-Baxter and averaging operators on $F[x, x^{-1}]$. https://arxiv.org/abs/2607.29312

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