Properties of free Baxter algebras

被引：28
作者：
Guo, L [1 ]
机构：
[1] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA
来源：
ADVANCES IN MATHEMATICS | 2000年 / 151卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/aima.1999.1898
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2000 Academic Press.
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收藏
页码：346 / 374
页数：29
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