Approximation Presentations of Modules and Homological Conjectures |
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Authors: | Zhaoyong Huang |
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Affiliation: | 1. Department of Mathematics , Nanjing University , Nanjing, China huangzy@ nju.edu.cn |
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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 ). |
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Keywords: | Homological conjectures Property (W k ) Right quasi k-Gorenstein rings 𝕎 t -approxima-tion presentations |
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