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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2008 Volume 49, Number 1, Pages 189–192 (Mi smj1832)

This article is cited in 3 papers

A decomposability criterion for elementary theories

D. K. Ponomarev

A. P. Ershov Institute of Informatics Systems Sib. Br. RAS

Abstract: We prove that each elementary theory has a unique decomposition into indecomposable components and formulate a decomposability criterion.

Keywords: decomposable theory, decomposition of theories.

UDC: 510.6

Received: 17.07.2006
Revised: 10.05.2007


 English version:
Siberian Mathematical Journal, 2008, 49:1, 152–154

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© Steklov Math. Inst. of RAS, 2026