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 | 2024年
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.
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页数：37
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