Аннотация:
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 with no constant term. We also describe injective monomial Rota—Baxter operators of nonzero weight on the algebra of polynomials in several variables with no constant term.
The work is supported by the Program of fundamental scientific research
of the Siberian Branch of Russian Academy of Sciences, I.1.1 (project 0314-2019-0001RFFI).
Поступила11 ноября 2019 г., опубликована 3 августа 2020 г.