On finitely generated flat modules. (English) Zbl 0175.03603
Keywords:
commutative algebraReferences:
| [1] | Maurice Auslander, On regular group rings, Proc. Amer. Math. Soc. 8 (1957), 658 – 664. · Zbl 0079.26703 |
| [2] | Maurice Auslander and David A. Buchsbaum, Invariant factors and two criteria for projectivity of modules, Trans. Amer. Math. Soc. 104 (1962), 516 – 522. · Zbl 0108.26204 |
| [3] | Maurice Auslander and Oscar Goldman, Maximal orders, Trans. Amer. Math. Soc. 97 (1960), 1 – 24. · Zbl 0117.02506 |
| [4] | N. Bourbaki, Éléments de mathématique. Fascicule XXVIII. Algèbre commutative. Chapitre 3: Graduations, filtra- tions et topologies. Chapitre 4: Idéaux premiers associés et décomposition primaire, Actualités Scientifiques et Industrielles, No. 1293, Hermann, Paris, 1961 (French). · Zbl 0547.13001 |
| [5] | Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. · Zbl 0075.24305 |
| [6] | Stephen U. Chase, Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457 – 473. · Zbl 0100.26602 |
| [7] | Shizuo Endo, On semi-hereditary rings, J. Math. Soc. Japan 13 (1961), 109 – 119. · Zbl 0102.02902 · doi:10.2969/jmsj/01320109 |
| [8] | Shizuo Endo, On flat modules over commutative rings, J. Math. Soc. Japan 14 (1962), 284 – 291. · Zbl 0108.26301 · doi:10.2969/jmsj/01430284 |
| [9] | Harley Flanders, Tensor and exterior powers, J. Algebra 7 (1967), 1 – 24. · Zbl 0159.03701 · doi:10.1016/0021-8693(67)90064-6 |
| [10] | Chr. U. Jensen, A remark on flat and projective modules, Canad. J. Math. 18 (1966), 943 – 949. · Zbl 0144.02302 · doi:10.4153/CJM-1966-093-7 |
| [11] | I. Kaplansky, Commutative rings, Queen Mary College Math. Notes, London, 1966. · Zbl 0254.13003 |
| [12] | Daniel Lazard, Sur les modules plats, C. R. Acad. Sci. Paris 258 (1964), 6313 – 6316 (French). · Zbl 0135.07604 |
| [13] | K. R. Mount, Some remarks on Fitting’s invariants, Pacific J. Math. 13 (1963), 1353 – 1357. · Zbl 0124.26903 |
| [14] | Masayoshi Nagata, Some remarks on prime divisors, Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 33 (1960/1961), 297 – 299. · Zbl 0109.26504 |
| [15] | William W. Smith, Projective ideals of finite type, Canad. J. Math. 21 (1969), 1057 – 1061. · Zbl 0183.04001 · doi:10.4153/CJM-1969-116-7 |
| [16] | Jan R. Strooker, Lifting projectives, Nagoya Math. J. 27 (1966), 747 – 751. · Zbl 0147.28801 |
| [17] | Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. · Zbl 0081.26501 |
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