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Vanishing of Hochschild Cohomologies for Local Rings with Embedding Dimension Two

Published online by Cambridge University Press:  20 November 2018

Mitsuo Hoshino
Mitsuo Hoshino*
Affiliation:
Institute of Mathematics, University of Tsukuba Ibaraki, 305 Japan
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Abstract

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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.

Keywords

13E1016E4016L60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 59 - 65
Copyright
Copyright © Canadian Mathematical Society 1995

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