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Einige Eigenschaften der Parameterideale und ihre Anwendungen für Buchsbaum Ringe. (German) Zbl 0489.13009


MSC:

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13H15 Multiplicity theory and related topics
13A15 Ideals and multiplicative ideal theory in commutative rings
13H05 Regular local rings
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
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References:

[1] ATIYAH M. F., MacDONALD I. G.: Introduction to Commutative Algebra. Massachusetts 1969. First · Zbl 0175.03601
[2] BOĎA E.: Zur Berechnung von Schnittmultiplizitäten durch Längen. Math. slov. 28, 1978, No. 2, 173-179. · Zbl 0376.13004
[3] NORTHCOTT D. G.: Lessons on Rings, Modules and Multiplicaties. Cambridge 1968. First · Zbl 0159.33001
[4] SERRE J. P.: Algebre locale - Multiplicités. Lecture Notes in Mathematics 11. Berlin-Heidelberg-New York, Springer 1965. · Zbl 0142.28603
[5] STUCKRAD J., VOGEL W.: Eine Verallgemeinerung der Cohen-Macaulay Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie. J. Math. Kyoto Univ. 13, 1973, 513-528. · Zbl 0275.13028
[6] ZARISKI O., SAMUEL P.: Commutative Algebra. New York 1958. First Received June 10, 1977. · Zbl 0081.26501
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