Prime model

In mathematics, and in particular model theory, a prime model is a model which is as simple as possible. Specifically, a model $P$ is prime if it admits an elementary embedding into any model $M$ to which it is elementarily equivalent (that is, into any model $M$ satisfying the same complete theory as $P$ ).

单词	Prime model
释义	Prime model 英语百科 Prime model In mathematics, and in particular model theory, a prime model is a model which is as simple as possible. Specifically, a model $P$ is prime if it admits an elementary embedding into any model $M$ to which it is elementarily equivalent (that is, into any model $M$ satisfying the same complete theory as $P$ ).
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