Local and 2-local automorphisms of null-filiform and filiform Zinbiel algebras

被引：0
作者：
Arzikulov, F. N. [1 ,2 ]
Karimjanov, I. A. [1 ,2 ]
Umrzaqov, S. M. [2 ]
机构：
[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, 9 Univ St, Tashkent 100174, Uzbekistan
[2] Andijan State Univ, Dept Math, 129 Univ St, Andijan 170100, Uzbekistan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2025年 / 213卷
关键词：
Null-filiform Zinbiel algebra; Filiform Zinbiel algebra; Automorphism; Local automorphism; 2-local automorphism; OPERATOR-ALGEBRAS; COHOMOLOGY; DERIVATIONS;
D O I：
10.1016/j.geomphys.2025.105487
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we give a description of local automorphisms of null-filiform and filiform Zinbiel algebras. It turns out, every such Zinbiel algebra has a local automorphism that is not an automorphism. Theorems on the description of 2-local automorphisms of null-filiform and filiform Zinbiel algebras are also proved. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：17
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