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Krull dimension and generalized fractions

Published online by Cambridge University Press:  20 January 2009

M. A. Hamieh  and
R. Y. Sharp
M. A. Hamieh
Affiliation:
Department of Purec Mathematics, University of Sheffield, Sheffield S3 7RH
R. Y. Sharp
Affiliation:
Department of Purec Mathematics, University of Sheffield, Sheffield S3 7RH
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Let R be a (commutative Noetherian) local ring (with identity) having maximal ideal and dimension d≧l. It is shown in [5,3.6rsqb; that the local cohomology module may be described as a module of generalized fractions: if x1…,xd is a system of parameters for R, then , where U(x)d+1 is the triangular subset [4,2.1] of Rd+1 given by

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 3 , October 1985 , pp. 349 - 353
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

REFERENCES

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