In mathematics, and in particular model theory, a prime model is a model that is as simple as possible. Specifically, a model is prime if it admits an elementary embedding into any model to which it is elementarily equivalent (that is, into any model satisfying the same complete theory as ).
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| - Primmodell (de)
- Prime model (en)
- Modelo primo (pt)
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| - In der Modelltheorie, einem Teilgebiet der mathematischen Logik, nennt man ein Modell einer Primmodell, wenn sich dieses Modell in jedes Modell dieser Theorie elementar einbetten lässt. (de)
- In mathematics, and in particular model theory, a prime model is a model that is as simple as possible. Specifically, a model is prime if it admits an elementary embedding into any model to which it is elementarily equivalent (that is, into any model satisfying the same complete theory as ). (en)
- Em matemática, e em particular na teoria dos modelos, um modelo primo é o mais simples possível. Especificamente, um modelo de é primo se admite uma imersão elementar em qualquer modelo para que ele seja elementarmente equivalente (ou seja, para qualquer modelo satisfazendo a mesma teoria completa que ). (pt)
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| - In der Modelltheorie, einem Teilgebiet der mathematischen Logik, nennt man ein Modell einer Primmodell, wenn sich dieses Modell in jedes Modell dieser Theorie elementar einbetten lässt. (de)
- In mathematics, and in particular model theory, a prime model is a model that is as simple as possible. Specifically, a model is prime if it admits an elementary embedding into any model to which it is elementarily equivalent (that is, into any model satisfying the same complete theory as ). (en)
- Em matemática, e em particular na teoria dos modelos, um modelo primo é o mais simples possível. Especificamente, um modelo de é primo se admite uma imersão elementar em qualquer modelo para que ele seja elementarmente equivalente (ou seja, para qualquer modelo satisfazendo a mesma teoria completa que ). (pt)
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