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The idependence relation in separably closed fields. (English) Zbl 0633.03029
The paper is a contribution to the study of the connection between algebraic and model theoretic notions. The author applies his notion of equation and of equational theory [introduced by A. Pillay and G. Srour, J. Symb. Logic 49, 1350-1362 (1984; Zbl 0597.03018)] to the complete extensions of the theory of separably closed fields of given finite characteristic [which were described by Yu. L. Ershov, Dokl. Akad. Nauk SSSR 174, 19-20 (1967; Zbl 0153.372)].
[The author’s notion of “equation” must not be confused with the simple grammatical meaning of the word; and his notion of “equational theory” must not be confused with what in the Tarski tradition is called “equational theory” (which corresponds to what Universal Algebraists call “variety”).]
Reviewer: G.Fuhrken

MSC:
03C60 Model-theoretic algebra
03C45 Classification theory, stability and related concepts in model theory
12L12 Model theory of fields
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References:
[1] Notes on the separability of separably closed fields 44 pp 412– (1979)
[2] Closed sets and chain conditions in stable theories 49 pp 1350– (1984)
[3] Doklady AkadĂ©emii Nauk SSSR 174 pp 19– (1967)
[4] DOI: 10.1007/BF02760649 · Zbl 0583.03021 · doi:10.1007/BF02760649
[5] Introduction to forking 44 pp 330– (1979)
[6] Introduction to stability theory (1983)
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