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On the tensor product of exact sequences of modules over a Dedekind ring. (English) Zbl 0301.13005

MSC:
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
13C10 Projective and free modules and ideals in commutative rings
15A72 Vector and tensor algebra, theory of invariants
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[1] N.Bourbaki, Alg?bre Commutative, chap. 1,7. Paris 1965. · Zbl 0141.03501
[2] H.Cartan and S.Eilenberg, Homological Algebra. Princeton 1956.
[3] J. Dieudonn?, Sur les Produits Tensoriels. Ann. Sci. Ecole Norm. Sup.64, 101-117 (1947). · Zbl 0033.24801
[4] I. Kaplansky, Modules over Dedekind Rings and Valuation Rings. Trans. Amer. Math. Soc.72, 327-340 (1952). · Zbl 0046.25701 · doi:10.1090/S0002-9947-1952-0046349-0
[5] E. Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlk?rpern. Math. Ann.71, 328-354 (1912). · JFM 42.0230.02 · doi:10.1007/BF01456849
[6] S. M. Yahya, Kernel of the HomomorphismA? ?B? ? A ? B. J. Natur. Sci. and Math.3, 139-145 (1963). · Zbl 0127.25503
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