×

zbMATH — the first resource for mathematics

Almost diagonal matrices over Dedekind domains. (English) Zbl 0211.36903

MSC:
15B33 Matrices over special rings (quaternions, finite fields, etc.)
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
PDF BibTeX Cite
Full Text: DOI EuDML
References:
[1] Claborn, L.: Every Abelian group is a class group. Pacific J. Math.18, 219-222 (1966). · Zbl 0166.30602
[2] Erd?s P., Ginzburg, A., Ziv, A.: Bull. Research Council Israel10 (1961).
[3] Curtis, C. W., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Wiley 1962. · Zbl 0131.25601
[4] Kaplansky, I.: Elementary divisors and modules. Trans. Amer. Math. Soc.66, 464-491 (1949). · Zbl 0036.01903
[5] ?: Modules over Dedekind rings and valuation rings. Trans. Amer. Math. Soc.72, 327-340 (1952). · Zbl 0046.25701
[6] Krull, W.: Matrizen, Moduln und verallgemeinerte Abelsche Gruppen im Bereich der ganzen algebraischen Zahlen. Heidelberger Akademie der Wissenschaften2, 13-38 (1932). · JFM 58.0101.02
[7] Levy, L.S.: Decomposing pairs of modules. Trans. Amer. Math. Soc.122, 64-80 (1966). · Zbl 0145.04403
[8] Mann, H.B.: Two addition theorems. J. Combinat. Theory3, 233-235 (1967). · Zbl 0189.29701
[9] Steinitz, E.: Rechteckige Systeme und Moduln in algebraischen Zahlkörpern. I and II. Math. Ann.71, 328-354 (1912) and72, 297-345 (1912). · JFM 42.0230.02
[10] Cartan, H., Eilenberg, S.: Homological algebra. Princeton, N.J.: Princeton University Press 1956. · Zbl 0075.24305
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.