$A$-transforms and Hilbert functions in local lattices
Author:
E. W. Johnson
Journal:
Trans. Amer. Math. Soc. 137 (1969), 125-139
MSC:
Primary 06.30; Secondary 13.00
DOI:
https://doi.org/10.1090/S0002-9947-1969-0237387-6
MathSciNet review:
0237387
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. P. Dilworth, Abstract commutative ideal theory, Pacific J. Math. 12 (1962), 481–498. MR 143781
- Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers a division of John Wiley & Sons New York-London, 1962. MR 0155856
- D. G. Northcott, Ideal theory, Cambridge Tracts in Mathematics and Mathematical Physics, No. 42, Cambridge, at the University Press, 1953. MR 0058575
- D. Rees, ${\mathfrak a}$-transforms of local rings and a theorem on multiplicities of ideals, Proc. Cambridge Philos. Soc. 57 (1961), 8–17. MR 118750, DOI https://doi.org/10.1017/s0305004100034800
- Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto-London-New York, 1960. MR 0120249
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Article copyright:
© Copyright 1969
American Mathematical Society
