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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 291–302 (Mi smj1175)  
Structure of the algebraic systems with the complete theory of infinite subsystems

D. Yu. Vlasov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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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.
Keywords: algebraic system, complete theory, monomorphy.
Received: 22.09.2000
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 2, Pages 235–243
DOI: https://doi.org/10.1023/A:1022924618693
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: D. Yu. Vlasov, “Structure of the algebraic systems with the complete theory of infinite subsystems”, Sibirsk. Mat. Zh., 44:2 (2003), 291–302; Siberian Math. J., 44:2 (2003), 235–243
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 235--243
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