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A decomposability criterion for elementary theories. (Russian, English) Zbl 1164.03315
Sib. Mat. Zh. 49, No. 1, 189-192 (2008); translation in Sib. Math. J. 49, No. 1, 152-154 (2008).
Summary: We prove that each elementary theory has a unique decomposition into indecomposable components and formulate a decomposability criterion.
MSC:
03C07 Basic properties of first-order languages and structures
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