Geodesic
Vanishing of Hochschild Cohomologies for Local Rings with Embedding Dimension Two
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 59-65

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1995-008-9
Mots-clés : 13E10, 16E40, 16L60 
Hoshino, Mitsuo. Vanishing of Hochschild Cohomologies for Local Rings with Embedding Dimension Two. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 59-65. doi: 10.4153/CMB-1995-008-9
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