Local and 2-local derivations on filiform associative algebras

被引：0

作者：

Abdurasulov, Kobiljon ^{[1
,2
]}

Ayupov, Shavkat ^{[1
,2
,3
]}

Yusupov, Bakhtiyor ^{[1
,2
,4
]}

机构：

[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, 9 Univ St, Tashkent 100174, Uzbekistan

[2] Univ Beira Interior, CMA UBI, Covilha, Portugal

[3] Natl Univ Uzbekistan, Tashkent 100170, Uzbekistan

[4] Urgench State Univ, Dept Phys & Math, Kh Alimdjan St 14, Urganch 220100, Uzbekistan

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 10期

关键词：

Associative algebras; filiform associative algebras; quasi-filiform associative algebras; derivation; local derivation; 2-local derivation;

D O I：

10.1142/S0219498825502421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of local and 2-local derivations of null-filiform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras as a rule admit local derivations which are not derivations. We show that filiform and naturally graded quasi-filiform associative algebras admit 2-local derivations which are not derivations and any 2-local derivation of null-filiform associative algebras is a derivation.

引用

页数：37

共 19 条

[1] Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras [J].