| 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 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
18E40 | 
| MSC:
             | 
20K10 | 
| MSC:
             | 
20K99 | 
| idZBL:
             | 
Zbl 0244.20065 | 
| idMR:
             | 
MR0323920 | 
| . | 
| Date available:
             | 
2008-06-05T20:39:09Z | 
| Last updated:
             | 
2012-04-27 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/105430 | 
| . | 
| 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. | 
| . |