Structure of the Algebraic Systems with the Complete Theory of Infinite Subsystems |
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Authors: | Vlasov D Yu |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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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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Keywords: | algebraic system complete theory monomorphy |
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