×

Über vollständige Durchschnitte in lokalen Ringen. (German) Zbl 0416.13015


MSC:

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13H15 Multiplicity theory and related topics
14M10 Complete intersections
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] und , Bemerkungen über normale Flachheit und normale Torsionsfreiheit und Anwendungen. Period. Math. Hungar. (im Druck).
[2] and , On system of parameters, local intersection multiplicity and Bezout’s Theorem. Proc. Amer. Math. Soc. (im Druck). · Zbl 0436.13012
[3] Böger, Rees. J. Algebra 12 pp 207– (1969)
[4] The asymptotic nature of the analytic spread. Math. Proc. Cambridge Philos. Soc. (im Druck). · Zbl 0413.13011
[5] Cowsik, J. Indian Math. Soc. 40 pp 217– (1976)
[6] Multiplicity and monoidal transformations. Thesis, Princeton University, 1960 (unpublished).
[7] Eisenbud, Nagoya Math. J. 67 pp 177– (1977) · Zbl 0336.13014 · doi:10.1017/S0027763000022613
[8] Algebraische Geometrie II. B. I. Mannheim 1970.
[9] und , Theorie der normalen Flachheit. Teubner-Texte zur Mathematik, Teubner-Verlag, Leipzig 1977.
[10] Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul. Math. Z. (im Druck). · Zbl 0372.13014
[11] Local rings. Interscience, New York 1962.
[12] Northcott, Proc. Cambridge Philos. Soc. 50 pp 145– (1954)
[13] Lessons on rings, modules and multiplicities. Cambridge Univ. Press, 1968. · Zbl 0159.33001 · doi:10.1017/CBO9780511565922
[14] Rees, Proc. Cambridge Philos. Soc. 57 pp 8– (1961)
[15] und , Bemerkungen über Zusammenhangseigenschaften und mengentheoretische Darstellung projektiver algebraischer Mannigfaltigkeiten. In: Beiträge zur Algebra und Geometrie. Martin-Luther-Univ. Halle–Wittenberg, Halle (im Druck).
[16] On the number of generators of ideals of dimension zero. In Lect. Notes in Math. 311, Springer-Verlag Berlin–New York, 1973, s. 239–242.
[17] Numbers of generators of ideals in local rings. Lecture Notes in pure and appl. math., Vol. 35, Marcel Dekker, Inc., New York and Basel, 1978.
[18] Schenzel, J. Algebra 48 pp 401– (1977)
[19] Stückrad, J. Math. Kyto Univ. 13 pp 513– (1973)
[20] Stückrad, Amer. J. Math. 100 pp 727– (1978)
[21] Vollständige Durchschnitte in Cohen-Macaulay-Ringen. Preprint, Universität Regensburg, 1978.
[22] and , Commutative algebra, Vol. I, II. D. V. Nostrand Comp. Princeton 1958 and 1960.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.