Elementary Pairs of Primitive Normal Theories |
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Authors: | E A Palyutin |
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Institution: | (1) Institute of Mathematics SB RAS, Akademika Koptyuga Prospekt, 4, Novosibirsk, 630090, Russia |
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Abstract: | The main objective of the paper is proving that classes of primitive normal, primitive bound, antiadditive, and additive theories are closed under P-expansions. This phenomenon is quite remarkable, for the main structure classes of theories studied within model theory (such as stable, totally transcendental, etc.) do not possess such a property. Furthermore, it is proved that primitive bound theories are P-stable, and we furnish an example of a primitive bound theory with models that are not primitive bound. |
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Keywords: | elementary pairs primitive normal theory primitive bound theory antiadditive theory additive theory primitive bound model |
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