Monomial Rota-Baxter operators on free commutative non-unital algebra
Rings and Algebras
2022-01-25 v2
Abstract
A Rota-Baxter operator defined on the polynomial algebra is called monomial if it maps each monomial to a monomial with some coefficient. We classify monomial Rota-Baxter operators defined on the algebra of polynomials in one variable without constant term. We also describe injective monomial Rota--Baxter operators of nonzero weight on the algebra of polynomials in several variables without constant term.
Cite
@article{arxiv.1911.12000,
title = {Monomial Rota-Baxter operators on free commutative non-unital algebra},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1911.12000},
year = {2022}
}
Comments
12 p; v2: Examples 7 and 9 are new