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The Model Theory of Differential Fields of Characteristic p ≠ 0
Proceedings of the American Mathematical Society
Vol. 40, No. 2 (Oct., 1973), pp. 577-584
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2039417
Page Count: 8
You can always find the topics here!Topics: Algebra, Model theory, Mathematical constants, Differentials, Theoretical linguistics, Axioms, Mathematical procedures, Amalgamation properties, Differential equations, Integers
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The theory of differential fields of characteristic p ≠ 0 is shown to have a model companion, the theory of differentially closed fields, which is moreover the model completion of the theory of differentially perfect fields. It is also shown that the theory of differentially closed fields is not ω-stable.
Proceedings of the American Mathematical Society © 1973 American Mathematical Society