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- W1989395087 abstract "In ~tn influential paper [16] Vaught defined a prime model of a complete theory to be a model of the theory ~hich can be elementari ly embedded in every model of the theory. He established the following fundamental facts about prime mode!Is: (1) a model is prime iff it is countable and atomic; (2) a complete theory has a prime model if[ it satisfies a simple syntactical condit ion; (3) a complete theory has at most one prime model (up to isomorphism). The main facts about prime models were discovered independently by Svenonius [15]. In this paper we investigate the corresp¢,nding concept in which ~.~ementary embeddings are replaced by (isomorphic) embeddings." @default.
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- W1989395087 date "1981-08-01" @default.
- W1989395087 modified "2023-10-18" @default.
- W1989395087 title "Algebraically prime models" @default.
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- W1989395087 doi "https://doi.org/10.1016/0003-4843(81)90007-3" @default.
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