2024/02/15 by Abror Khudoyberdiyev, Khudoyberdiyev, Abror, Bakhtiyor Yusupov +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2402.09818
openalex publication_date 2024/02/15 · openalex created_date 2024/02/18 · openalex updated_date 2026/07/28
In this work, we introduce the notion of local and 2-local δ-derivations and describe local and 2-local (1)/(2)-derivation of finite-dimensional solvable Lie algebras with filiform, Heisenberg, and abelian nilradicals. Moreover, we describe the local (1)/(2)-derivation of oscillator Lie algebras, Schrödinger algebras, and Lie algebra with a three-dimensional simple part, whose radical is an irreducible module. We prove that an algebra with only trivial (1)/(2)-derivation does not admit local and 2-local (1)/(2)-derivation, which is not (1)/(2)-derivation.