Values of the length function for nonassociative algebras

被引：0

作者：

Guterman, Alexander ^{[1
,2
,3
]}

Kudryavtsev, Dmitry ^{[4
,5
]}

机构：

[1] Bar Ilan Univ, Dept Math, Ramat Gan, Israel

[2] Lomonosov Moscow State Univ, Fac Algebra, Dept Mech & Math, Moscow, Russia

[3] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

[4] Univ Manchester, Sch Math, Manchester, England

[5] Univ Manchester, Sch Math, Manchester M13 9PL, England

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 01期

关键词：

Length function; nonassociative algebra; PAIRS;

D O I：

10.1080/00927872.2023.2241533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study realizable values of the length function for unital possibly nonassociative algebras of a given dimension. To do this we apply the method of characteristic sequences and establish sufficient conditions of realizability for a given value of length. The proposed conditions are based on binary decompositions of the value and algebraic constructions that allow to modify length function of an algebra. Additionally we provide a description of unital algebras of maximal possible length in terms of their bases.

引用

页码：392 / 407

页数：16

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