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

2022/10/28 by Khodzitskii, Artem · 2 citations
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2210.15953

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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• Linear-in-degree monomial Rota-Baxter of weight zero and averaging operators on F[x, y] and F₀[x, y]
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