Approximation presentations of modules and homological conjectures

Details Approximation presentations of modules and homological conjectures Approximation presentations of modules and homological conjectures

2004-09-10

arxiv.org/abs/math/0409175v2

Mathematics

Rings and Algebras

19 pages. To appear in Communications in Algebra. The orginal title is: $W^t$-approximation representations and homological co

Scientific paper

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$^{k}$).

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