Classification of monomial Rota-Baxter operators on k[x]

preprint2015arXivOpen access

Abstract

Rota-Baxter operators were introduced to solve certain analytic and combinatorial problems and then applied to many fields in mathematics and mathematical physics. The polynomial algebra k[x]\mathbf{k}[x] plays a central role both in analysis and algebra. In this paper, we explicitly classified all monomial Rota-Baxter operators on k[x]\mathbf{k}[x].

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