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
收藏
页码：392 / 407
页数：16
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