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Approximation Presentations of Modules and Homological Conjectures
Authors:Zhaoyong Huang
Institution:1. Department of Mathematics , Nanjing University , Nanjing, China huangzy@ nju.edu.cn
Abstract:In this article we give a sufficient condition of the existence of 𝕎 t -approximation presentations. We also introduce property (W k ). As an application of the existence of 𝕎 t -approximation presentations we give a connection between the finitistic dimension conjecture, the Auslander–Reiten conjecture, and property (W k ).
Keywords:Homological conjectures  Property (W k )  Right quasi k-Gorenstein rings  𝕎   t -approxima-tion presentations
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