Abstract: The structure of Lie higher derivable mappings at the zero point on generalized matrix algebras is investigated. Firstly, using the method of algebraic decomposition, the author proves that every Lie higher derivable mapping at the zero point can be expressed as the sum of a higher derivation and a center-valued mapping. Secondly, as an application, the explicit form of Lie higher derivable mappings at the zero point on triangular algebras is obtained.

Key words: generalized matrix algebra, Lie higher derivable mapping at zero point, higher derivation