Geodesic
A note on regular local Noether lattices II
Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 157-159

Voir la notice de l'article provenant de la source Cambridge University Press

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]. 
Johnson, Johnny A. A note on regular local Noether lattices II. Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 157-159. doi: 10.1017/S0017089500003207
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[1] 1.Bogart, K. P., Structure theorems for regular local Noether lattices, Michigan Math. J. 15 (1968), 167–176. Google Scholar

[2] 2.Dilworth, R. P., Abstract commutative ideal theory, Pacific J. Math. 12 (1962), 481–498. Google Scholar | DOI

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

[4] 4.Johnson, E. W. and Johnson, J. A., M-primary elements of a local Noether lattice, Corrigendum, Canad. J. Math. 25 (1973), 448. Google Scholar | DOI

[5] 5.Johnson, E. W., A-transforms and Hilbert functions on local lattices, Trans. Amer. Math. Soc. 137 (1969), 125–139. Google Scholar

[6] 6.Johnson, J. A., A note on regular local Noether lattices, Glasgow Math. J. 15 (1974), 159–161. Google Scholar

[7] 7.Nagata, M., Local Rings (Interscience, 1962). Google Scholar

[8] 8.Northcott, D. G., Ideal Theory (Cambridge, 1963). Google Scholar

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