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Ultraproducts and higher order models

Published online by Cambridge University Press:  17 April 2009

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Abstract

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Type
Abstracts of Australasian PhD theses
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Malcolm, W.G., “Variations in definition of ultraproducts of a family of first order relational structures”, Notre Dame J. Formal Logic 13 (1972), 394398.Google Scholar
Malcolm, W.G., “On a compactness theorem of A. Shafaat”, J. London Math. Soc. (2) 5 (1972), 719725.Google Scholar
Malcolm, W.G., “Some results and algebraic applications in the theory of higher order ultraproducts”, Notre Dame J. Formal Logic (to appear).Google Scholar
Malcolm, W.G., “Application of higher order ultraproducts to the theory of local properties in universal algebras”, Proc. London Math. Soc. (to appear).Google Scholar
[2]Shafaat, A., “Principle of localisation for a more general type of languages”, Proc. London Math. Soc. (3) 17 (1967), 629643.Google Scholar