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Structure of the Algebraic Systems with the Complete Theory of Infinite Subsystems

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Abstract

The structure is described for the algebraic systems with the complete theory of infinite subsystems, i.e., the systems with all infinite subsystems elementarily equivalent. A theorem is proved characterizing the property of a system to have exactly the sole complete theory of infinite subsystems.

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References

  1. Fraisse R., Theory of Relations, North-Holland, Amsterdam etc. (1986).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    D. Yu. Vlasov

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  1. D. Yu. Vlasov
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Vlasov, D.Y. Structure of the Algebraic Systems with the Complete Theory of Infinite Subsystems. Siberian Mathematical Journal 44, 235–243 (2003). https://doi.org/10.1023/A:1022924618693

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  • DOI: https://doi.org/10.1023/A:1022924618693

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