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

Classification of monomial Rota–Baxter operators on k[x]
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k[x] 上单项式 RotaâBaxter 算子的分类

DOI:
10.1142/s0219498816500870
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发表时间:
2016
影响因子:
0.8
通讯作者:
Yu Houyi
Yu Houyi
中科院分区:
数学3区
文献类型:
--
作者:
Yu Houyi

文献摘要

相似文献

Rota-Baxter算子被引入到解决某些分析和组合问题中,然后被应用到数学和数学物理的许多领域。多项式代数k[x]在分析和代数中都起着核心作用。本文对k[x]上的所有单项Rota-Baxter算子进行了明确的分类。
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] plays a central role both in analysis and algebra. In this paper, we explicitly classified all monomial Rota–Baxter operators on k[x].