Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-20T05:17:51.014Z Has data issue: false hasContentIssue false
  • English
  • Français

Some nil ring properties related to T-nilpotence

Published online by Cambridge University Press:  17 April 2009

B.J. Gardner
B.J. Gardner
Affiliation:
Department of Mathematics, University of Tasmania, GPO Box 252C Hobart, Tas. 7001, Australia
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 examine the rings in which every sequence has either a subsequence, or a rearrangement, such that for some n the product of the first n terms in zero.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 519 - 523
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Fuchs, L., Infinite abelian groups Vol.II (Academic Press, New York and London, 1973).Google Scholar
[2]Gardner, B.J., ‘Some aspects of T-nilpotence’, Pacific J. Math. 53 (1974), 117–130.CrossRefGoogle Scholar
[3]Lanski, C., ‘Can a semi-prime ring be a finite union of right annihilators?’, Canad. Math. Bull. 33 (1990), 126–128.CrossRefGoogle Scholar
[4]Neumann, B.H., ‘Groups covered by permutable subgroups’, J. London Math. Soc. 29 (1954), 236–248.CrossRefGoogle Scholar
[5]Sands, A.D., ‘On M-nilpotent rings’, Proc. Roy. Soc. Edinburgh 93A (1982), 63–70.CrossRefGoogle Scholar