Hostname: page-component-745bb68f8f-v2bm5 Total loading time: 0 Render date: 2025-01-26T04:13:08.250Z Has data issue: false hasContentIssue false
  • English
  • Français

On squares of Jacobson radical rings

Published online by Cambridge University Press:  17 April 2009

E.R. Puczylowski  and
H. Zand
E.R. Puczylowski
Affiliation:
Faculty of MathematicsUniversity of Warsaw02–907 Warsaw, Banach 2Poland e-mail: [email protected]
H. Zand
Affiliation:
IET and Faculty of Mathematics and ComputingThe Open UniversityWalton Hall, MiltonKeynes MK7 6AAEngland e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We construct several examples of Jacobson radical rings which are not squares of other rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 2 , April 1996 , pp. 299 - 303
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Beidar, K.I., ‘On essential extensions, maximal essential extensions and iterated maximal essential extensions in radical theory’, in Theory of Radicals (Proc. Conf. Szekszard, 1991), Colloq. Math. Soc. J. Bolyai 61 (North Holland, Amsterdam, 1993), pp. 17–26.CrossRefGoogle Scholar
[2]Bessenrodt-Timmerscheidt, C., Brungs, H.H. and Törner, G., Right chain rings, Part 1, Schriftenreihe des FB Mathematik 74 (Universität Duisburgi, 1985).Google Scholar
[3]Bessenrodt-Timmerscheidt, C., Brungs, H.H. and Törner, G., Right chain rings, Schriftenreihe des FB Mathematik 101 (Universität Duisburg, 1990).Google Scholar
[4]Divinsky, N.J., Rings and radicals (Allen and Unwin, 1965).Google Scholar
[5]Lee, Y. L., ‘note on the Jacobson radical’, Proc. Amer. Math. Soc. 118 (1993), 337–338.CrossRefGoogle Scholar
[6]Puczylowski, E. R., ‘On essential extensions of rings’, Bull. Austral. Math. Soc. 35 (1987), 379–386.CrossRefGoogle Scholar