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In model theory, a branch of mathematical logic, the notion of an existentially closed model (or existentially complete model) of a theory generalizes the notions of algebraically closed fields (for the theory of fields), real closed fields (for the theory of ordered fields), existentially closed groups (for the theory of groups), and dense linear orders without endpoints (for the theory of linear orders).

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  • Existentially closed model (en)
  • Existentiellt sluten (sv)
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  • In model theory, a branch of mathematical logic, the notion of an existentially closed model (or existentially complete model) of a theory generalizes the notions of algebraically closed fields (for the theory of fields), real closed fields (for the theory of ordered fields), existentially closed groups (for the theory of groups), and dense linear orders without endpoints (for the theory of linear orders). (en)
  • Inom modellteorin sägs en modell M för en teori T vara existentiellt sluten om för varje formel med parametrar i M sådan att det finns N så att och så gäller . Exempel 1. * Algebraiskt slutna kroppar är existentiellt slutna, enligt Chevalleys sats och Hilberts nollställesats. 2. * Z, ringen av heltal, är existentiellt sluten En teori vars modeller alltid är existentiellt slutna sägs vara modellfullständig. Denna artikel om logik saknar väsentlig information. Du kan hjälpa till genom att lägga till den. (sv)
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  • In model theory, a branch of mathematical logic, the notion of an existentially closed model (or existentially complete model) of a theory generalizes the notions of algebraically closed fields (for the theory of fields), real closed fields (for the theory of ordered fields), existentially closed groups (for the theory of groups), and dense linear orders without endpoints (for the theory of linear orders). (en)
  • Inom modellteorin sägs en modell M för en teori T vara existentiellt sluten om för varje formel med parametrar i M sådan att det finns N så att och så gäller . Exempel 1. * Algebraiskt slutna kroppar är existentiellt slutna, enligt Chevalleys sats och Hilberts nollställesats. 2. * Z, ringen av heltal, är existentiellt sluten En teori vars modeller alltid är existentiellt slutna sägs vara modellfullständig. Denna artikel om logik saknar väsentlig information. Du kan hjälpa till genom att lägga till den. (sv)
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