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• W1971201084 abstract "We introduce the notion of functional extension of a set X, by means of two natural algebraic properties of the operator “�” on unary functions. We study the connections with ultrapowers of structures with universe X, and we give a simple characterization of those functional extensions that correspond to limit ultrapower extensions. In particular we obtain a purely algebraic proof of Keisler’s characterization of nonstandard (= complete elementary) extensions." @default.
• W1971201084 created "2016-06-24" @default.
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• W1971201084 date "2012-08-01" @default.
• W1971201084 modified "2023-09-28" @default.
• W1971201084 title "A simple algebraic characterization of nonstandard extensions" @default.
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• W1971201084 doi "https://doi.org/10.1090/s0002-9939-2011-11104-3" @default.
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