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Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe. (German) Zbl 0093.02902


Keywords:

group theory
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References:

[1] R. Baer: Primary abelian groups and their automorphisms. Amer. J. Math., 59 (1937), 99-117. · Zbl 0016.01404
[2] R. Baer: Abelian groups that are direct summands of every containing abelian group. Bull. Amer. Math. Soc., 46 (1940), 800-806. · Zbl 0024.14902
[3] F. Dlab: D-hodnost Abelovy grupy. Čas. pro pěst, mat., 82 (1957), 314-334.
[4] J. L. Dorroh: Concerning adjunctions to algebras. Bull. Amer. Math. Soc, 38 (1932) 85-88. · Zbl 0003.38701
[5] N. Jacobson: The Theorie of Rings. New York 1943. · Zbl 0060.07302
[6] 3. М. Кишкина: Эндоморфизмы р-примитивных абелевых групп без кручения. Изв. Акад. наук СССР, сер. мат., 9 (1945), 201-232. · Zbl 0119.10101
[7] Л. Я. Куликов: К теории абелевых групп произвольной мощности. Mat. c6. (нов. с), 16 (1945), 129-162. · Zbl 0119.10101
[8] A. O. Kurosch: Gruppentheorie. Berlin 1953. · Zbl 0053.01001
[9] А. Г. Курош: Теория групп. 2-е изд., Москва 1953. · Zbl 1151.94459
[10] N. H. McCoy: Rings and Ideals. Carus Math. Monographs 7, Baltimore 1948. · Zbl 0041.36406
[11] M. Shiffman: The ring of automorphisms of an abelian group. Duke math. J., 6 (1940), 579-597. · Zbl 0024.01702
[12] K. Shoda: Über die Automorphismen einer endlichen Abelschen Gruppe, Math. Ann., 100 (1928), 674-686. · JFM 54.0143.04
[13] K. Shoda: Über den Automorphismenring bzw. die Automorphismengruppe einer endlichen Abelschen Gruppe. Proc. Acad. Tokyo, 6 (1930), 9-11. · JFM 56.0866.01
[14] B. L. van der Waerden: Moderne Algebra I. Berlin 1937. · JFM 63.0082.06
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