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A note on regular local Noether lattices II
Published online by Cambridge University Press: 18 May 2009
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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].
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- Copyright © Glasgow Mathematical Journal Trust 1977
References
REFERENCES
1.Bogart, K. P., Structure theorems for regular local Noether lattices, Michigan Math. J. 15 (1968), 167–176.Google Scholar
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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
4.Johnson, E. W. and Johnson, J. A., M-primary elements of a local Noether lattice, Corrigendum, Canad. J. Math. 25 (1973), 448.CrossRefGoogle Scholar
5.Johnson, E. W., A-transforms and Hilbert functions on local lattices, Trans. Amer. Math. Soc. 137 (1969), 125–139.Google Scholar
6.Johnson, J. A., A note on regular local Noether lattices, Glasgow Math. J. 15 (1974), 159–161.Google Scholar
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