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On an application of the Fitting invariants. (English) Zbl 0196.31003


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[1] Auslander, M.; Buchsbaum, D., Homological dimension in local rings, Trans. Am. Math. Soc., 85, 390-405 (1957) · Zbl 0078.02802
[2] Auslander, M.; Buchsbaum, D., Codimension and multiplicity, Ann. Math., 68, 625-657 (1958) · Zbl 0092.03902
[3] Cartan, H.; Eilenberg, S., Homological Algebra (1956), Princeton Univ. Press · Zbl 0075.24305
[4] Fitting, H., Die Determinantenideale eines Moduls, Jahresber. Deutsch. Math.-Verein., 46, 195-228 (1936) · JFM 62.1104.02
[5] Kaplansky, I., Projective modules, Ann. Math., 68, 372-377 (1958) · Zbl 0083.25802
[6] MacRae, R. E., On the homological dimension of certain ideals, (Proc. Am. Math. Soc., 14 (1963)), 746-750 · Zbl 0113.26202
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