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A note on regular local Noether lattices II

Published online by Cambridge University Press:  18 May 2009

Johnny A. Johnson
Johnny A. Johnson
Affiliation:
University of Houston, Department of Mathematics, Houston, Texas 77004, U.S.A.
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Let (R, M) be a local ring and let R* be the M-adic ring completion of R. It is well known that R is a regular local ring if and only if R* is a regular local ring. The purpose of the note is to show that this result is essentially a consequence of a more general theory concerning local Noether lattices which was developed in [6].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 2 , July 1977 , pp. 157 - 159
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

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3.Johnson, E. W. and Johnson, J. A., M-primary elements of a local Noether lattice, Canad. J. Math. 22 (1970), 327–331.CrossRefGoogle Scholar
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