The Class of Bounded Lattices Is Not Axiomatizable


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详细

We prove that the class of bounded (lower bounded, upper bounded) lattices is not closed under ultraproducts, thereby solving an open problem.

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M. Schwidefsky

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: semenova@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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