Email this article The Class of Bounded Lattices Is Not Axiomatizable
- Authors: Schwidefsky M.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 55, No 4 (2016)
- Pages: 327-329
- Section: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/233997
- DOI: https://doi.org/10.1007/s10469-016-9402-9
- ID: 233997
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Abstract
We prove that the class of bounded (lower bounded, upper bounded) lattices is not closed under ultraproducts, thereby solving an open problem.
About the authors
M. V. Schwidefsky
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: semenova@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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