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Article

Title: Two notes on radicals of Abelian groups (English)
Author: Gardner, Barry J.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 13
Issue: 3
Year: 1972
Pages: 419-430
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Category: math
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MSC: 18E40
MSC: 20K10
MSC: 20K99
idZBL: Zbl 0244.20065
idMR: MR0323920
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Date available: 2008-06-05T20:39:09Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105430
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Reference: [1] S. A. AMITSUR: A general theory of radicals II. Radicals in rings and bicategories.Amer. J. Math. 76 (1954), 100-125. MR 0059256
Reference: [2] R. BAER: Die Torsionsuntergruppe einer abelschen Gruppe.Math. Ann. 135 (1958), 219-234. Zbl 0081.25704, MR 0100024
Reference: [3] R. A. BEAUMONT R. S. PIERCE: Torsion-free rings.Illinois J. Math. 5 (1961), 61-98. MR 0148706
Reference: [4] R. A. BEAUMONT R. S. PIERCE: Quasi-isomorphism of p-groups.pp. 13-27 of Proceedings of the Colloquium on Abelian Groups, Tihany, 1963, Akadémiai Kiadó, Budapest, 1964. MR 0172920
Reference: [5] S. E. DICKSON: On torsion classes of abelian groups.J. Math. Soc. Japan 17 (1965), 30-35. Zbl 0131.02404, MR 0185001
Reference: [6] S. E. DICKSON: A torsion theory for abelian categories.Trans. Amer. Math. Soc. 121 (1966), 223-235. Zbl 0138.01801, MR 0191935
Reference: [7] D. W. DUBOIS: Cohesive groups and p-adic integers.Publ. Math. Debrecen 12 (1965), 51-58. Zbl 0136.29002, MR 0220823
Reference: [8] J. ERDÖS: On direct decompositions of torsion free abelian groups.Publ. Math. Debrecen 3 (1954), 281-288. MR 0072132
Reference: [9] L. FUCHS: Abelian Groups.Akadémiai Kiadó, Budapest, 1958. Zbl 0091.02704
Reference: [10] L. FUCHS: Infinite Abelian Groups Vol. I.Academic Press, New York and London, 1970. Zbl 0209.05503, MR 0255673
Reference: [11] B. J. GARDNER: Torsion classes and pure subgroups.Pacific J. Math. 33 (1970), 109-116. Zbl 0177.04203, MR 0260867
Reference: [12] B. J. GARDNER: A note on types.Bull. Austral. Math. Soc. 2 (1970), 275-276. Zbl 0186.32703, MR 0258950
Reference: [13] B. J. GARDNER: Radicals of abelian groups and associative rings.(submitted). Zbl 0234.16003
Reference: [14] B. J. GARDNER: Some remarks on radicals of rings with chain conditions.(submitted). Zbl 0234.16004
Reference: [15] A. G. KUROŠ: Radikaly kolec i algebr.Matem. Sb. 33 (1953), 13-26. MR 0057236
Reference: [16] A. G. KUROŠ: Radikaly v teorii grupp.Sibirskij Mstem. 2. 3 (1962), 912-931.
Reference: [17] Ju. M. RJABUCHIN: Radikaly v kategorijach.Matem. Issled. Kišinev 2 Vyp. 3 (1967), 107-165.
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