Properties of Free Baxter Algebras
Properties of Free Baxter Algebras
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DOI：
10.1006/aima.1999.1898
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发表时间：
2000-05
影响因子：
1.7
通讯作者：
Li Guo
中科院分区：
文献类型：
--
作者：
Li Guo
自由Baxter代数的研究始于30年前的Rota和Cartier。我们通过应用两个最近的自由Baxter代数的构造来继续这项研究。研究了自由Baxter代数的基本结构，并详细描述了自由Baxter代数是定义域还是约简代数。我们还描述了自由Baxter代数未约化时的幂零根。
Abstract The study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue this study by applying two recent constructions of free Baxter algebras. We investigate the basic structure of a free Baxter algebra and characterize in detail when a free Baxter algebra is a domain or a reduced algebra. We also describe the nilpotent radical of a free Baxter algebra when it is not reduced.