Geodesic
Elementary Theories for Rogers Semilattices
Algebra i logika, Tome 44 (2005) no. 3, pp. 261-268

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that for every level of the arithmetic hierarchy, there exist infinitely many families of sets with pairwise non-elementarily equivalent Rogers semilattices.
Keywords: arithmetic hierarchy, Rogers semilattice, elementary theory. 
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     author = {S. A. Badaev and S. S. Goncharov and A. Sorbi},
     title = {Elementary {Theories} for {Rogers} {Semilattices}},
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     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_3_a0/}
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S. A. Badaev; S. S. Goncharov; A. Sorbi. Elementary Theories for Rogers Semilattices. Algebra i logika, Tome 44 (2005) no. 3, pp. 261-268. http://geodesic.mathdoc.fr/item/AL_2005_44_3_a0/