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Structure of the Algebraic Systems with the Complete Theory of Infinite Subsystems
Authors:Vlasov  D Yu
Institution:(1) Sobolev Institute of Mathematics, Novosibirsk
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
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