Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Additive groups of $ T$-rings


Author: George V. Wilson
Journal: Proc. Amer. Math. Soc. 99 (1987), 219-220
MSC: Primary 20K99; Secondary 16A99
DOI: https://doi.org/10.1090/S0002-9939-1987-0870774-8
MathSciNet review: 870774
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We build on a result of Bowshell and Schultz to give a complete characterization of the groups which occur as the additive groups of $ T$-rings. This answers a question of Feigelstock.


References [Enhancements On Off] (What's this?)

  • [BS] R. A. Bowshell and P. Schultz, Unital rings whose additive endomorphisms commute, Math. Ann. 228 (1977), 197-214. MR 0498691 (58:16768)
  • [F1] L. Fuchs, Abelian groups, Publ. House Hungarian Acad. Sci., Budapest, 1958. MR 0106942 (21:5672)
  • [F2] -, Infinite Abelian groups, Vols. 1 and 2, Academic Press, New York and London, 1970 and 1973.
  • [Fg] S. Feigelstock, Additive groups of rings, Pitman, London, 1983. MR 704506 (85e:20042)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20K99, 16A99

Retrieve articles in all journals with MSC: 20K99, 16A99


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1987-0870774-8
Article copyright: © Copyright 1987 American Mathematical Society

American Mathematical Society