Lattice varieties with non-elementary amalgamation classes |
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Authors: | P. Ouwehand H. Rose |
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Affiliation: | (1) Department of Mathematics, University of Cape Town, Rondebosch 7700, Republic of South Africa, e-mail: peter0@maths.uct.ac.za, US |
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Abstract: | In this paper it is shown that under certain general conditions, if the amalgamation class of a lattice variety contains a member which does not have a 2-congruence, then the amalgamation class is not closed under ultrapowers or direct products. In particular, the amalgamation class is not first order axiomatizable. Received October 1, 1997; accepted in final form Feburary 26 1999. |
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