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arXiv · 2210.15953

Monomial Rota-Baxter operators of nonzero weight on $F[x,y]$ coming from averaging operators

Artem Khodzitskii
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Abstract

The intensive study of Rota-Baxter operators on the polynomial algebra $F[x]$ has been started with the work of S.H. Zheng, L. Guo, and M. Rosenkranz (2015). We deal with the case of two variables and monomial Rota-Baxter operators of nonzero weight. The family of such operators arisen from homomorphic averaging operators on $F[x,y]$ is described.

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Artem Khodzitskii. 2022-10-28. Monomial Rota-Baxter operators of nonzero weight on $F[x,y]$ coming from averaging operators. https://arxiv.org/abs/2210.15953

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