Elementary Theories for Rogers Semilattices |
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| Authors: | S. A. Badaev S. S. Goncharov A. Sorbi |
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| Affiliation: | (1) KazSU, Masanchi 39/47, Almaty, 480012, Kazakhstan;(2) Institute of Mathematics SB RAS, Akademika Koptyuga Prospekt, 4, Novosibirsk, 630090, Russia;(3) Dip. di Scienze Matematiche ed Informatiche “Roberto Magari”, Via del Capitano 15, 53100 Siena, Italy |
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| Abstract: | ![]()
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.Supported by INTAS grant No. 00-499.__________Translated from Algebra i Logika, Vol. 44, No. 3, pp. 261–268, May–June, 2005. |
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| Keywords: | arithmetic hierarchy Rogers semilattice elementary theory |
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