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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 6, Pages 1361–1375
DOI: https://doi.org/10.17377/smzh.2016.57.613 (Mi smj2829) 		 
Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width

D. E. Pal'chunovab, A. V. Trofimovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2016.57.613
Abstract: We give a description of finitely axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width. Criteria are obtained for the elementary equivalence of superatomic Boolean algebras with distinguished dense subalgebra of finite width and the decidability of their elementary theories.
Keywords: Boolean algebra, Boolean algebra with distinguished subalgebra, local algebra, elementary theory, finitely axiomatizable theory, decidable theory, elementary equivalence.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00903-а
The authors were supported by the Russian Foundation for Basic Research (Grant 14-07-00903-а).
Received: 24.03.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 1066–1076
DOI: https://doi.org/10.1134/S0037446616060136
Bibliographic databases:
Document Type: Article
UDC: 512.563
Language: Russian
Citation: D. E. Pal'chunov, A. V. Trofimov, “Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width”, Sibirsk. Mat. Zh., 57:6 (2016), 1361–1375; Siberian Math. J., 57:6 (2016), 1066–1076
Citation in format AMSBIB
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