Geodesic
Monomial Rota---Baxter operators on free commutative non-unital algebra
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1052-1063

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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.
Keywords: Rota—Baxter operator
Mots-clés : polynomial algebra. 
@article{SEMR_2020_17_a25,
     author = {V. Gubarev},
     title = {Monomial {Rota---Baxter} operators on free commutative non-unital algebra},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1052--1063},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a25/}
}
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V. Gubarev. Monomial Rota---Baxter operators on free commutative non-unital algebra. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1052-1063. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a25/