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On the associativity formula for multiplicities. (English) Zbl 0089.26002


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[1] Chevalley, C., Intersections of algebraic and algebroid varieties. Trans. Amer. Math. Soc.57 (1945), 1–85. · Zbl 0063.00841 · doi:10.1090/S0002-9947-1945-0012458-1
[2] Northcott, D. G., Ideal theory. Cambridge Tracts in Math. and Math. Phys.42. Cambridge 1953. 111 pp. · Zbl 0052.26801
[3] __, Hilbert’s function in a local ring. Quart. J. Math. (2).4 (1953), 67–80. · Zbl 0050.03002 · doi:10.1093/qmath/4.1.67
[4] Northcott, D. G. andRees, D., Reductions of ideals in local rings. Proc. Cambridge Phil. Soc.50 (1954), 145–158. · Zbl 0057.02601 · doi:10.1017/S0305004100029194
[5] __, A note on reductions of ideals with an application to the generalized Hilbert function. Proc. Cambridge Phil. Soc.50 (1954), 353–359. · Zbl 0057.02602 · doi:10.1017/S0305004100029455
[6] Samuel, P., Algèbre locale. Mémorial Sci. Math.123. Paris 1953. 76 pp. · Zbl 0053.01901
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