APPLIED CATEGORICAL STRUCTURES, vol.6, no.4, pp.455-471, 1998 (SCI-Expanded)
In this paper we give a construction of free 2-crossed modules. By the use of a 'step-by-step' method based on the work of Andre, we will give a description of crossed algebraic models for the steps in the construction of a free simplicial resolution of an algebra. This involves the introduction of the notion of a free 2-crossed module of algebras.