Some Classes of Nilpotent Associative Algebras

被引：0

作者：

I. A. Karimjanov

M. Ladra

机构：

[1] Andijan State University,Department of Mathematics, Institute of Mathematics

[2] University of Santiago de Compostela,undefined

来源：

Mediterranean Journal of Mathematics | 2020年 / 17卷

关键词：

Associative algebras; nilpotent; null-filiform; naturally graded; filiform; quasi-filiform; characteristic sequence; left multiplication operator; 16S50; 16W50;

D O I：

暂无

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学科分类号：

摘要：

In this paper, we classify filiform associative algebras of degree p over a field of characteristic zero. Moreover, over an algebraically closed field of characteristic zero, we also classify filiform nilpotent associative algebras and naturally graded quasi-filiform nilpotent associative algebras, described through the characteristic sequence C(A)=(n-2,1,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C({\mathcal {A}})=(n-2,1,1)$$\end{document} or C(A)=(n-2,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C({\mathcal {A}})=(n-2,2)$$\end{document}.

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