Two notes on radicals of Abelian groups

Barry J. Gardner

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 3, page 419-430
  • ISSN: 0010-2628

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Gardner, Barry J.. "Two notes on radicals of Abelian groups." Commentationes Mathematicae Universitatis Carolinae 013.3 (1972): 419-430. <http://eudml.org/doc/16507>.

@article{Gardner1972,
author = {Gardner, Barry J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {419-430},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Two notes on radicals of Abelian groups},
url = {http://eudml.org/doc/16507},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Gardner, Barry J.
TI - Two notes on radicals of Abelian groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 3
SP - 419
EP - 430
LA - eng
UR - http://eudml.org/doc/16507
ER -

References

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  1. S. A. AMITSUR, A general theory of radicals II. Radicals in rings and bicategories, Amer. J. Math. 76 (1954), 100-125. (1954) MR0059256
  2. R. BAER, Die Torsionsuntergruppe einer abelschen Gruppe, Math. Ann. 135 (1958), 219-234. (1958) Zbl0081.25704MR0100024
  3. R. A. BEAUMONT R. S. PIERCE, Torsion-free rings, Illinois J. Math. 5 (1961), 61-98. (1961) MR0148706
  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. (1963) MR0172920
  5. S. E. DICKSON, On torsion classes of abelian groups, J. Math. Soc. Japan 17 (1965), 30-35. (1965) Zbl0131.02404MR0185001
  6. S. E. DICKSON, A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223-235. (1966) Zbl0138.01801MR0191935
  7. D. W. DUBOIS, Cohesive groups and p-adic integers, Publ. Math. Debrecen 12 (1965), 51-58. (1965) Zbl0136.29002MR0220823
  8. J. ERDÖS, On direct decompositions of torsion free abelian groups, Publ. Math. Debrecen 3 (1954), 281-288. (1954) MR0072132
  9. L. FUCHS, Abelian Groups, Akadémiai Kiadó, Budapest, 1958. (1958) Zbl0091.02704
  10. L. FUCHS, Infinite Abelian Groups Vol. I, Academic Press, New York and London, 1970. (1970) Zbl0209.05503MR0255673
  11. B. J. GARDNER, Torsion classes and pure subgroups, Pacific J. Math. 33 (1970), 109-116. (1970) Zbl0177.04203MR0260867
  12. B. J. GARDNER, A note on types, Bull. Austral. Math. Soc. 2 (1970), 275-276. (1970) Zbl0186.32703MR0258950
  13. B. J. GARDNER, Radicals of abelian groups and associative rings, (submitted). Zbl0234.16003
  14. B. J. GARDNER, Some remarks on radicals of rings with chain conditions, (submitted). Zbl0234.16004
  15. A. G. KUROŠ, Radikaly kolec i algebr, Matem. Sb. 33 (1953), 13-26. (1953) MR0057236
  16. A. G. KUROŠ, Radikaly v teorii grupp, Sibirskij Mstem. 2. 3 (1962), 912-931. (1962) 
  17. Ju. M. RJABUCHIN, Radikaly v kategorijach, Matem. Issled. Kišinev 2 Vyp. 3 (1967), 107-165. (1967) 

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