Monomial Rota–Baxter Operators of Nonzero Weight on F[x, y] Coming from Averaging Operators

Author:

Khodzitskii Artem

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference28 articles.

1. Baxter, G.: An analytic problem whose solution follows from a simple algebraic identity. Pac. J. Math. 10, 731–742 (1960)

2. Belavin, A.A., Drinfel’d, V.G.: Solutions of the classical Yang-Baxter equation for simple Lie algebras. Funct. Anal. Appl. 16(3), 159–180 (1982)

3. Benito, P., Gubarev, V., Pozhidaev, A.: Rota-Baxter operators on quadratic algebras. Mediterr. J. Math. 15(2018), 23 (1989)

4. Ebrahimi-Fard, K., Guo, L., Kreimer, D.: Integrable renormalization I: the ladder case. J. Math. Phys. 45, 3758–3769 (2004)

5. Gubarev, V.: Monomial Rota–Baxter operators on free commutative non-unital algebra. Sib. Electron. Math. Rep. 17, 1052–1063 (2020)

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