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On the Bar-radical of Jordan Baric Algebras
被引：0
作者：
J. C. M. Ferreira
H. Guzzo
机构：
[1] Universidade Federal do ABC,Centro de Matemática, Computação e Cognição
[2] Universidade de São Paulo,Instituto de Matemática e Estatística
来源：
Results in Mathematics
|
2007年
/
51卷
关键词：
Primary 17D92;
Baric algebras;
Jordan algebras;
bar-radical;
nilradical;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that if (U, w) is a finite dimensional Jordan baric algebra such that \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$\text{rad}(U)\subseteq(\text{bar}(U))^3$$
\end{document} then, \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$\text{rad}(U)=R(U)\cap(\text{bar}(U))^3$$
\end{document}, where R(U) is the nilradical (maximal nil ideal) of U. We also give conditions so that \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$\text{rad}(U)\subseteq (\text{bar}(U))^3$$
\end{document} and an example showing that such conditions are necessary.
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页码：43 / 49
页数：6
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