Approximation presentations of modules and homological conjectures
Abstract
Description
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$^{k}$).
19 pages. To appear in Communications in Algebra. The orginal title is: $W^t$-approximation representations and homological conjectures
19 pages. To appear in Communications in Algebra. The orginal title is: $W^t$-approximation representations and homological conjectures