Definable operations on sets and elimination of imaginaries
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- by Jan Holly PDF
- Proc. Amer. Math. Soc. 117 (1993), 1149-1157 Request permission
Abstract:
This paper gives a new and constructive proof of Poizat’s theorem that the theory of algebraically closed fields admits elimination of imaginaries. The proof uses ideas of definability for properties and operations on definable sets. In addition, the property of being finite in an algebrically closed field, as well as the property of having a given algebraic dimension are shown to be definable properties.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 1149-1157
- MSC: Primary 03C60; Secondary 03C10, 03C40, 03C45, 12L05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1116261-6
- MathSciNet review: 1116261