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Generalisations of nilpotency of rings

Published online by Cambridge University Press:  20 January 2009

Edmund F. Robertson
Edmund F. Robertson
Affiliation:
Mathematical Institute, North Haugh, St Andrews
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In (5) and (6) we studied certain subgroups of infinite dimensional linear groups over rings. In particular we investigated how the structure of the subgroups was related to the structure of the rings over which the linear groups were defined. It became clear that it might prove useful to study generalised nilpotent properties of rings analogous to Baer nilgroups and Gruenberg groups. We look briefly at some classes of generalised nilpotent rings in this paper and obtain a lattice diagram exhibiting all the strict inclusions between the classes.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 4 , December 1973 , pp. 265 - 272
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

REFERENCES

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(6) Robertson, E. F., Some properties of a subgroup of SpΩ(R), J. London Math. Soc. (2), 4 (1971), 65–78.CrossRefGoogle Scholar