Vanishing of Ext and Tor over Cohen-Macaulay local rings
classification
🧮 math.AC
keywords
ringslocalvanishingartinianauslander-reitencohen-macaulaycommutativeconjecture
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We consider vanishing of Ext and Tor, especially over Artinian rings. In particular, we prove the Auslander-Reiten conjecture for all commutative local rings in which the cube of the maximal ideal is zero.
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