Monomial Rota-Baxter operators of nonzero weight on $F[x,y]$ coming from averaging operators
Rings and Algebras
2022-10-31 v1
Abstract
The intensive study of Rota-Baxter operators on the polynomial algebra 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 is described.
Keywords
Cite
@article{arxiv.2210.15953,
title = {Monomial Rota-Baxter operators of nonzero weight on $F[x,y]$ coming from averaging operators},
author = {Artem Khodzitskii},
journal= {arXiv preprint arXiv:2210.15953},
year = {2022}
}
Comments
24 p