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Längenberechnung und kanonische Ideale in eindimensionalen Ringen. (German) Zbl 0374.13006

13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13E05 Commutative Noetherian rings and modules
Full Text: DOI
[1] H. Bass, On the ubiquity of Gorensteinrings. Math. Z.82, 8-28 (1963). · Zbl 0112.26604 · doi:10.1007/BF01112819
[2] R. Berger, Über eine Klasse unvergabelter lokaler Ringe. Math. Ann.146, 98-102 (1962). · Zbl 0115.03303 · doi:10.1007/BF01396670
[3] R. Berger, Differentialmoduln eindimensionaler lokaler Ringe. Math. Z.81, 326-354 (1963). · Zbl 0113.26302 · doi:10.1007/BF01111579
[4] J.Herzog und E.Kunz, Die Wertehalbgruppe eines lokalen Rings der Dimension 1. Ber. Heidelberger Akad. Wiss. 1971, 2. Abh. (1971). · Zbl 0212.06102
[5] J.Herzog und E.Kunz (Hrsg.), Der kanonische Modul eines Cohen-Macaulay-Rings. LNM238, Berlin 1971. · Zbl 0231.13009
[6] J.Jäger, Kanonische Ideale und Längenberechnung in numerischen Halbgruppen und eindimensionalen lokalen Ringen. Dissertation, Saarbrücken 1975.
[7] E.Matlis, 1-dimensional Cohen-Macaulay-Rings. LNM327, Berlin 1973. · Zbl 0264.13012
[8] T. Matsuoka, On the degree of singularity of one-dimensional analytically irreducible noetherian local domains. J. Math. Kyoto Univ.11, 458-494 (1971). · Zbl 0224.13017
[9] T. Matsuoka, On the degree of singularity of one-dimensional analytically unramified noetherian local domains. J. Math. Kyoto Univ.12, 123-127 (1972). · Zbl 0226.13014
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