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Journal of the London Mathematical Society 1996 54(2):359-368; doi:10.1112/jlms/54.2.359
© 1996 by London Mathematical Society
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© The London Mathematical Society

Spectrum-Finite Ideals of Jordan-Banach Algebras

T. J. D. Wilkins

Department of Pure Mathematics and Mathematical Statistics, University of Cambridge 16 Mill Lane, Cambridge CB2 1SB

Received 30 September 1994. Revision received 27 January 1995.

We show that the socle of a semi-simple non-commutative Jordan-Banach algebra coincides with the largest spectrum-finite ideal, and give several alternative characterisations of the socle.


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