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math.RA2023
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…
math.RA2014★ 15 cited
Leibniz algebras associated with representations of filiform Lie algebras
Sh. A. Ayupov, L. M. Camacho, A. Kh. Khudoyberdiyev +1
In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra We introduce a Fock module for the algebra …