%0 Journal Article %T Approximation presentations of modules and homological conjectures %A Zhaoyong Huang %J Mathematics %D 2004 %I arXiv %X In this paper we give a sufficient condition of the existence of ${\rm \mathbb{W}}^{t}$-approximation presentations. We also introduce property (W$^{k}$). As an application of the existence of ${\rm \mathbb{W}}^{t}$-approximation presentations we give a connection between the finitistic dimension conjecture, the Auslander-Reiten conjecture and property (W$^{k}$). %U http://arxiv.org/abs/math/0409175v2