Some properties of m-isoclinism and ID*-derivations in Filippov algebras

摘要

AbstractIn this paper, we introduce the concept of m-isoclinism of Filippov algebras. And then we present a new class of subalgebra of Der(A) which is denoted by IDm?(A), i.e. the set of all α∈Der(A), such that image of its image is contained in the (m+1)th term of lower central series of A, and it maps central elements to 0. As a consequence, we show that if A and B are two m-isoclinism Filippov algebras, then IDm?(A)?IDm?(B).