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  1. A model complete theory of valued d-fields.Thomas Scanlon - 2000 - Journal of Symbolic Logic 65 (4):1758-1784.
    The notion of a D-ring, generalizing that of a differential or a difference ring, is introduced. Quantifier elimination and a version of the Ax-Kochen-Eršov principle is proven for a theory of valued D-fields of residual characteristic zero.
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  • Model theory of fields with free operators in characteristic zero.Rahim Moosa & Thomas Scanlon - 2014 - Journal of Mathematical Logic 14 (2):1450009.
    Generalizing and unifying the known theorems for difference and differential fields, it is shown that for every finite free algebra scheme.
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  • A Model Complete Theory Of Valued D-fields.Thomas Scanlon - 2000 - Journal of Symbolic Logic 65 (4):1758-1784.
    The notion of a D-ring, generalizing that of a differential or a difference ring, is introduced. Quantifier elimination and a version of the Ax-Kochen-Ersov principle is proven for a theory of valued D-fields of residual characteristic zero.
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