Classification of naturally graded nilpotent associative algebras

被引：0

作者：

Karimjanov, I. A. ^{[1
,2
,3
]}

机构：

[1] Andijan State Univ, Dept Math, Andijan, Uzbekistan

[2] Uzbek Acad Sci, V I Romanovskiy Inst Math, Tashkent, Uzbekistan

[3] Andijan State Univ, Dept Math, 129 Univ St, Andijan 170100, Uzbekistan

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 05期

关键词：

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

D O I：

10.1080/00927872.2022.2148257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we consider n- dimensional naturally graded nilpotent associative algebras with the characteristic sequence C(A)=(n-m,m) over an algebraically closed field of characteristic zero. There are two types of such algebras. We give the algebraic classification up to isomorphism of both types of algebras. Moreover, we prove that there are no such algebras of the second type for n > 2m+1.

引用

页码：1969 / 1981

页数：13

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