Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex

被引：17

作者：

Mukhamedov, Farrukh ^{[1
]}

Khakimov, Otabek ^{[1
]}

Omirov, Bakhrom ^{[2
]}

Qaralleh, Izzat ^{[3
]}

机构：

[1] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

[2] Natl Univ Uzbekistan, 4 Univ St, Tashkent 100174, Uzbekistan

[3] Tafila Tech Univ, Fac Sci, Dept Math, Tafila, Jordan

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 12期

关键词：

Evolution algebra; derivation; local derivation; automorphism;

D O I：

10.1142/S0219498819502335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the nilpotent finite-dimensional evolution algebras E with dim E-2 = dim E - 1. We describe the Lie algebra of derivations of these algebras. Moreover, in terms of these Lie algebras, we fully construct nilpotent evolution algebra with maximal index of nilpotency. Furthermore, this result allowed us fully characterize all local and 2-local derivations of the considered evolution algebras. Besides, all automorphisms and local automorphisms of these algebras are found.

引用

页数：23

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