6 papers · 1 filter
Local and 2-local -derivations of infinite-dimensional Lie algebras
Shavkat Ayupov, Abdireymov Arislanbay, Bakhtiyor Yusupov
In this work, we describe local and 2-local -derivations of infinite-dimensional Lie algebras. We prove that all local and 2-local -derivations of the Witt algebr…
Biderivations of some classes of solvable Leibniz algebras
Bakhtiyor Yusupov, Doston Jumaniyozov, Majidkhon Azizov
In this work, we investigate anti-derivations and biderivation of Leibniz algebras. We describe general form of anti-derivations and biderivations on null-filiform and filiform Lei…
Local derivation on the -th Schr{ö}dinger algebra
Amir Alauadinov, Bakhtiyor Yusupov, Doston Jumaniyozov
This paper is devoted to study local derivations on the -th Schr{ö}dinger algebra We prove that every local derivation on is a derivation.
Local and 2-local -derivations on finite-dimensional Lie algebras
Abror Khudoyberdiyev, Bakhtiyor Yusupov
In this work, we introduce the notion of local and -local -derivations and describe local and -local -derivation of finite-dimensional solvable Lie algebras w…
Local and 2-local derivations on filiform associative algebras
K. K. Abdurasulov, Sh. A. Ayupov, B. B. Yusupov
This paper is devoted to the study of local and 2-local derivations of nullfiliform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras…
Local and 2-local derivations of Locally simple Lie algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, Bakhtiyor Yusupov
In the present paper we study local and 2-local derivations of locally finite split simple Lie algebras. Namely, we show that every local and 2-local derivation on such Lie algebra…