Modules over Dedekind rings and valuation rings

Modules over Dedekind rings and valuation rings
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Trans. Amer. Math. Soc. 72 (1952), 327-340

DOI: https://doi.org/10.1090/S0002-9947-1952-0046349-0

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References

Reinhold Baer, Abelian groups without elements of finite order, Duke Math. J. 3 (1937), no. 1, 68–122. MR 1545974, DOI 10.1215/S0012-7094-37-00308-9
Reinhold Baer, Abelian groups that are direct summands of every containing abelian group, Bull. Amer. Math. Soc. 46 (1940), 800–806. MR 2886, DOI 10.1090/S0002-9904-1940-07306-9
Jean Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. (9) 27 (1948), 1–85 (French). MR 25473

L’arithmétique dans les algèbres de matrices

Irving Kaplansky, Maximal fields with valuations, Duke Math. J. 9 (1942), 303–321. MR 6161
Irving Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464–491. MR 31470, DOI 10.1090/S0002-9947-1949-0031470-3
L. Kulikoff, Zur Theorie der Abelschen Gruppen von beliebiger Mächtigkeit, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 165–181 (Russian, with German summary). MR 0004037
L. Koulikoff, On the theory of Abelian groups of arbitrary power, Rec. Math. [Mat. Sbornik] N.S. 16 (58) (1945), 129–162 (Russian, with English summary). MR 0018180

Allgemeine Bewertungstheorie

Heinz Prüfer, Untersuchungen über die Zerlegbarkeit der abzählbaren primären Abelschen Gruppen, Math. Z. 17 (1923), no. 1, 35–61 (German). MR 1544601, DOI 10.1007/BF01504333
Heinz Prüfer, Theorie der Abelschen Gruppen, Math. Z. 22 (1925), no. 1, 222–249 (German). MR 1544721, DOI 10.1007/BF01479604
O. F. G. Schilling, The Theory of Valuations, Mathematical Surveys, No. 4, American Mathematical Society, New York, N. Y., 1950. MR 0043776

Rechtickige Systeme und Moduln in algebraischen Zahlkörpern