On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

被引：0
作者：
Mukhamedov, Farrukh [1 ,4 ,6 ]
Khakimov, Otabek [2 ,3 ,4 ]
Qaralleh, Izzat [5 ]
机构：
[1] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain, Abu Dhabi, U Arab Emirates
[2] New Uzbekistan Univ, Sch Nat Sci & Engn, Tashkent, Uzbekistan
[3] Cent Asain Univ, Tashkent, Uzbekistan
[4] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent, Uzbekistan
[5] Tafila Tech Univ, Dept Math Fac Sci, Tafila, Jordan
[6] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, Abu Dhabi, U Arab Emirates
来源：
LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 14期
关键词：
B; Meini; Evolution algebra; derivation; automorphism; norm algebra; CLASSIFICATION;
D O I：
10.1080/03081087.2023.2262092
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras of maximal nilindex, allows the set $ \exp (\mathop {{\rm Der}}(\mathbf{E})) $ exp(Der(E)) to be investigated. Moreover $ \exp (\mathop {{\rm Der}}({\mathbf{E}})) $ exp(Der(E)) is shown to be a normal subgroup of $ \mbox {Aut}(\mathbf{E}) $ Aut(E), and its corresponding index is calculated.
引用
收藏
页码：2379 / 2390
页数：12
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