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A link between two characterisations of complete matrix rings

Published online by Cambridge University Press:  17 April 2009

N.J. Groenewald  and
L. van Wyk
N.J. Groenewald
Affiliation:
Department of Mathematics, University of Port Elizabeth, PO Box 1600, 6000 Port Elizabeth, South Africa, e-mail: [email protected]
L. van Wyk
Affiliation:
Department of Mathematics, University of Stellenbosch, Private Bag X5018, 7599 Stellenbosch, South Africa, e-mail: [email protected]
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Abstract

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We establish a link between the two characterizations, independently obtained in 1991 by Puchs and Robson, of complete matrix rings in terms of the existence of nilpotent elements.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 511 - 516
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Fuchs, P.R., ‘A characterisation result for matrix rings’, Bull. Austral. Math. Soc. 43 (1991), 265–267.CrossRefGoogle Scholar
[2]Fuchs, P.R., Maxson, C.J. and Pilz, G.F., ‘On rings for which homogeneous maps are linear’, Proc. Amer. Math. Soc. 112 (1991), 1–7.CrossRefGoogle Scholar
[3]Robson, J.C., ‘Recognition of matrix rings’, Comm. Algebra 19 (1991), 2113–2124.CrossRefGoogle Scholar