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

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DOI

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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     author = {Hoshino, Mitsuo},
     title = {Vanishing of {Hochschild} {Cohomologies} for {Local} {Rings} with {Embedding} {Dimension} {Two}},
     journal = {Canadian mathematical bulletin},
     pages = {59--65},
     year = {1995},
     volume = {38},
     number = {1},
     doi = {10.4153/CMB-1995-008-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-008-9/}
}
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