论文标题

$ f [x,y] $的nonzero重量的单型旋转式运算符来自平均运营商

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

论文作者

Khodzitskii, Artem

论文摘要

S.H.的工作已经开始对多项式代数$ f [x] $对Rota-Baxter操作员进行的密集研究。 Zheng,L。Guo和M. Rosenkranz(2015)。我们处理了两个变量和非零重量的单一旋转式运算符的情况。描述了这些操作员的家族来自$ f [x,y] $上的同构平均操作员的家族。

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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