<p>In this paper, sufficient conditions for finitely generated modules over a commutative noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the main results of this paper asserts that the Auslander–Reiten conjecture holds true for every normal ring.</p>

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Auslander–Reiten conjecture for normal rings

  • Kaito Kimura

摘要

In this paper, sufficient conditions for finitely generated modules over a commutative noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the main results of this paper asserts that the Auslander–Reiten conjecture holds true for every normal ring.