Geodesic
Elementary Pairs of Primitive Normal Theories
Algebra i logika, Tome 43 (2004) no. 3, pp. 321-340

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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.
Keywords: elementary pairs, primitive normal theory, primitive bound theory, antiadditive theory, additive theory, primitive bound model. 
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     author = {E. A. Palyutin},
     title = {Elementary {Pairs} of {Primitive} {Normal} {Theories}},
     journal = {Algebra i logika},
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     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_3_a2/}
}
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E. A. Palyutin. Elementary Pairs of Primitive Normal Theories. Algebra i logika, Tome 43 (2004) no. 3, pp. 321-340. http://geodesic.mathdoc.fr/item/AL_2004_43_3_a2/