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Vanishing of Hochschild Cohomologies for Local Rings with Embedding Dimension Two

  • Mitsuo Hoshino (a1)

Abstract

Let S = k[[x,y]] be a formal power series ring in two variables x, y over a field k and I an (x, y)-primary ideal of S. We show that S/I is selfinjective if Hi(S/I, S/I k S/I) = 0 for i = 1 and 2.

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References

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Vanishing of Hochschild Cohomologies for Local Rings with Embedding Dimension Two

  • Mitsuo Hoshino (a1)

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