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Boolean valued Lie algebras

Published online by Cambridge University Press:  12 March 2014

Hirokazu Nishimura*
Affiliation:
Institute of Mathematics, University of Tsukuba, Ibaraki 305, Japan

Abstract

In this paper we study a certain class of Lie algebras over commutative von Neumann algebras satisfying a certain finiteness condition. By using Boolean valued methods developed by Takeuti [8]−[11], we will establish the basic structure and representation theorems.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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