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| Paper IPM / M / 9516 |
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| Abstract: | |
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In this paper, we investigate the finiteness ofExt-indices for certain ring extensions. In this direction, we introduce some conjectures and discuss the relationships among them. We also prove these conjectures in some special cases. Furthermore, we prove that the trivial extension of an Artinian local ring by its residue class field is always offinite Ext-index, and prove a generalization of the Auslander-Reiten conjecture for this type of ring.
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