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  1. Extending models of arithmetic.James H. Schmerl - 1978 - Annals of Mathematical Logic 14 (2):89.
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  • Ultrafilters and types on models of arithmetic.L. A. S. Kirby - 1984 - Annals of Pure and Applied Logic 27 (3):215-252.
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  • Minimal elementary extensions of models of set theory and arithmetic.Ali Enayat - 1990 - Archive for Mathematical Logic 30 (3):181-192.
    TheoremEvery model of ZFChas a conservative elementary extension which possesses a cofinal minimal elementary extension.An application of Boolean ultrapowers to models of full arithmetic is also presented.
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