Further we consider generalized Witt algebras of the form W=W(G,I) over the field F, where I is an infinite index set and G=i∈IZ=(ai)i∈I:ai=0 except for a finite number of i∈I, and prove that all 2-local derivations on W(G,I) are also derivations. Finally, we show ...
of a Lie algebra plays an important role in study of local properties of the Lie algebra.This paper is devoted to study 2-local derivations of Lie algebras over fields of prime characteristic. Let g be the p dimensional Witt algebra ...
On derivations and low-dimensional (co)homology groups of pro-sovable Lie algebras associated with $\\mathbf{n}_1$ and $\\mathbf{n}_2$ In the paper we describe the derivations of two \\mathbb{N} \\mathbb{N} -graded infinity-dimensional Lie algebras \\mathbf{n}_1 \\mathbf{n}_1 ...
derivation2-local derivationIn this paper, we prove that every 2-local derivation on Witt algebras [Formula: see text] or [Formula: see text] is a derivation for all [Formula: see text]. As a consequence we obtain that every 2-local derivation on any centerless generalized Virasoro algebra...
2-Local derivations on Witt algebrasdoi:10.1142/S0219498821500687Yueqiang ZhaoYang ChenKaiming ZhaoWorld Scientific Publishing Company
As a natural generalization of derivation, 2-local derivation of a Lie algebra plays an important role in study of local properties of the Lie algebra.This paper is devoted to study 2-local derivations of Lie algebras over fields of prime characteristic. Let g be the p...