Geodesic
Some properties of elementary embeddability in the model theory
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 13-16

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It is known that isomorphism implies elementary embeddability, and elementary embeddability implies elementary equivalence. Both converse statements are wrong. These three relationships in the class of models of some theory $T$ of a countable language $L$ of first order are considered.
Keywords: model theory, elementary embeddability, elementary equivalence.
Mots-clés : isomorphism 
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     author = {M. I. Bekenov},
     title = {Some properties of elementary embeddability in the model theory},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a1/}
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M. I. Bekenov. Some properties of elementary embeddability in the model theory. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 13-16. http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a1/