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Generalized Cayley-Hamilton identities for matrices with entries in a non-associative ring

Published online by Cambridge University Press:  24 October 2008

Yehiel Ilamed
Yehiel Ilamed
Affiliation:
Soreq Nuclear Research Centre, Yavne, Israel
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Extract

In (1) A. H. Boers has studied the properties of n-PA rings, i.e. rings where any n-product (any product of n factors) is independent of its bracketing; a private communication is quoted in that paper to the effect that the n-PA rings were defined by Y. Ilamed starting from problems in mathematical physics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 21 - 23
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Boers, A. H.Les anneaux n-prod-associatifs et n-prod-alternatifs. Nederl. Akad. Wetensh Indag. Math. 31 (1969), 113–120.Google Scholar
(2)Boers, A. H. and Ilamed, Y. L.On nonassociative rings with n-PA subrings. Nederl. Akad. Wetensh Indag. Math. 32 (1970), 281–286.CrossRefGoogle Scholar
(3)Goldberg, H. and Lehrer-Ilamed, Y.Derivation of the Gell–Mann–Okubo mass formula. J. Math. and Phys. 4 (1963), 501–502.CrossRefGoogle Scholar
(4)Jacobson, N.Lectures in abstract algebra, vol. 1, p. 19 (D. van Nostrand Co.; Princeton, 1951).Google Scholar
(5)Lehrer, Y.The Cayley-Hamilton identity in free associative algebra. Bull. Res. Counc. of Israel, 5A (1955–1956), 197–198.Google Scholar
(6)Lehrer-Ilamed, Y. Identities in the universal enveloping algebra of SU3. In: Spectroscopic and group theoretical methods in physics. Racah memorial volume, ed. Bloch, F. et al. , pp. 125–130 (North-Holland Publ. Co., Amsterdam, 1968).Google Scholar