A. Khodzitskii

activity

20222026

collaborators

4 papers

math.RA2026

Monomial Rota-Baxter and averaging operators on $F [x, x^{- 1}]$

Artem Khodzitskii

The study of Rota-Baxter operators on the polynomial algebra in one variable was initiated by S.H. Zheng, L. Guo, and M. Rosenkranz (2015). Monomial Rota-Baxter operators on $F [x]$ …

math.RA2025

Linear-in-degree monomial Rota-Baxter of weight zero and averaging operators on $F [x, y]$ and $F_{0} [x, y]$

A. Khodzitskii

Rota-Baxter operators on the polynomial algebra have been actively studied since the work of S.H. Zheng, L. Guo, and M. Rosenkranz (2015). Monomial operators of an arbitrary weight…

math.RA2024

Monomial Rota-Baxter operators of weight zero and averaging operators on the polynomial algebra

Artem Khodzitskii

Starting with the work S.H. Zheng, L. Guo and M. Rosenkranz (2015), Rota-Baxter operators are studied on the polynomial algebra. Injective Rota-Baxter operators of weight zero on $…

math.RA2022

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

Artem Khodzitskii

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…

Monomial Rota-Baxter and averaging operators on F[x,x−1]

Linear-in-degree monomial Rota-Baxter of weight zero and averaging operators on F[x,y] and F0​[x,y]

Monomial Rota-Baxter operators of weight zero and averaging operators on the polynomial algebra

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

Monomial Rota-Baxter and averaging operators on $F [x, x^{- 1}]$

Linear-in-degree monomial Rota-Baxter of weight zero and averaging operators on $F [x, y]$ and $F_{0} [x, y]$

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