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arXiv 1503.02606math.ACmath.RA
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k[x]上单项Rota-Baxter算子的分类

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

Houyi Yu

摘要:

Rota-Baxter算子被引入到解决某些分析和组合问题中,并被应用到数学和数学物理的许多领域。多项式代数$\mathbf{k}[x]$在分析和代数中起着核心作用。本文对$\mathbf{k}[x]$上的单项Rota-Baxter算子进行了明确的分类.

英文摘要:

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 $\mathbf{k}[x]$ plays a central role both in analysis and algebra. In this paper, we explicitly classified all monomial Rota-Baxter operators on $\mathbf{k}[x]$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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