Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-17T23:18:09.406Z Has data issue: false hasContentIssue false
  • English
  • Français

On M-nilpotent rings

Published online by Cambridge University Press:  14 November 2011

A. D. Sands
A. D. Sands
Affiliation:
The University, Dundee DD1 4HN
Get access Rights & Permissions [Opens in a new window]

Synopsis

The class of M-nilpotent rings is defined as a generalisation of the class of T-nilpotent rings. Certain results for radicals of T-nilpotent rings are shown to hold also in this larger class of rings.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 63 - 70
Copyright
Copyright © Royal Society of Edinburgh 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Bass, H.. Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc. 95 (1960), 466–488.CrossRefGoogle Scholar
2Divinsky, N.. Unequivocal rings. Canad. J. Math. 27 (1975), 679–690.CrossRefGoogle Scholar
3Gardner, B. J.. Some aspects of T-nilpotence. Pacific J. Math. 53 (1974), 117–130.CrossRefGoogle Scholar
4Jaegermann, M. and Sands, A. D.. On normal radicals, N-radicals and A-radicals. J. Algebra 50 (1978), 337–349.CrossRefGoogle Scholar
5Puczylowski, E. R.. On unequivocal rings. Acta Math. Acad. Sci. Hungar. 36 (1980), 57–62.CrossRefGoogle Scholar
6Sands, A. D.. On normal radicals. J. London Math. Soc. 11 (1975), 361–365.CrossRefGoogle Scholar
7Wiegandt, R.. Radical and semisimple classes of rings. Queen's Univeristy, Kingston, Ontario, 1974.Google Scholar