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Algebra i logika, 2016, Volume 55, Number 4, Pages 493–497
DOI: https://doi.org/10.17377/alglog.2016.55.408 (Mi al755) 		 
The class of bounded lattices is not axiomatizable

M. V. Schwidefskyab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.17377/alglog.2016.55.408
Abstract: We prove that the class of bounded (lower bounded, upper bounded) lattices is not closed under ultraproducts, thereby solving an open problem.
Keywords: axiomatizable class, lower bounded lattice, free lattice, ultraproduct.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools, grant NSh-6848.2016.1.
Received: 07.12.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 4, Pages 327–329
DOI: https://doi.org/10.1007/s10469-016-9402-9
Bibliographic databases:
Document Type: Article
UDC: 512.56
Language: Russian
Citation: M. V. Schwidefsky, “The class of bounded lattices is not axiomatizable”, Algebra Logika, 55:4 (2016), 493–497; Algebra and Logic, 55:4 (2016), 327–329
Citation in format AMSBIB
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