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XIX.—The Cayley-Hamilton Theorem for Semi-rings*

Published online by Cambridge University Press:  14 February 2012

D. E. Rutherford
D. E. Rutherford
Affiliation:
Department of Applied Mathematics, University of St. Andrews
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Synopsis

A new proof of the Cayley-Hamilton theorem avoiding the use of determinants makes it possible to apply this theorem to matrices over a commutative semi-ring. The relationship of this theorem to a theorem by Lunts concerning switching matrices is investigated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 66 , Issue 4 , 1964 , pp. 211 - 215
Copyright
Copyright © Royal Society of Edinburgh 1964

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References

References to Literature

Luce, R. D., 1952. Proc. Amer. Math. Soc, 3, 382–388.CrossRefGoogle Scholar
Lunts, A. G., 1950. C.R. Acad. Sci. U.R.S.S., 70, 421–423.Google Scholar