Basis structure of modules
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- by O. T. O’Meara PDF
- Proc. Amer. Math. Soc. 7 (1956), 965-974 Request permission
References
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E. Artin, Algebraic numbers and algebraic functions, Princeton University, New York University, 1950.
- Keizo Asano, Über Moduln und Elementarteilertheorie im Körper, in dem Arithmetik definiert ist, Jpn. J. Math. 20 (1950), 55–71 (German). MR 45700, DOI 10.4099/jjm1924.20.0_{5}5 N. Bourbaki, Éléments de mathématique, Livre II, Actualités Scientifiques et Industrielles, no. 1179, Paris, 1952. C. Chevalley, L’arithmétique dans les algèbres de matrices, Actualités Scientifiques et Industrielles, no. 323, Paris, 1936.
- Irving Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464–491. MR 31470, DOI 10.1090/S0002-9947-1949-0031470-3
- Irving Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327–340. MR 46349, DOI 10.1090/S0002-9947-1952-0046349-0 W. Krull, Allgemeine Bewertungstheorie, J. Reine Angew. Math. vol. 167 (1932) pp. 160-196. E. Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlkörpern, Math. Ann. vol. 71 (1912) pp. 328-354.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 965-974
- MSC: Primary 09.3X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0082484-8
- MathSciNet review: 0082484