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A characterisation result for matrix rings

Published online by Cambridge University Press:  17 April 2009

P.R. Fuchs
P.R. Fuchs
Affiliation:
Institut für Mathematik, Johannes Kepler Universitāt, A-4040 Linz, Austria
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Abstract

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For a ring R with identity we show that the existence of certain nilpotent elements forces R to be a matrix ring of size ≥ 2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 265 - 267
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Fuchs, P.R., Maxson, C.J. and Pilz, G., ‘On rings for which homogeneous maps are linear’, Proc. Amer. Math. Soc (to appear).Google Scholar
[2]Rowen, L., Ring theory, Vol. 1 (Academic Press, 1988).Google Scholar