Geodesic
On nonaxiomatizability of critical lattices class
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 4, pp. 66-78
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Rigid lattices, i.e., lattices, any its endomorphism is a constant endomorphism (mapping all elements to a some single element) or the identity endomorphism, are investigated. It is proved that the class of critical lattices is not axiomatizable.
Keywords: lattice, rigid lattice, critical lattice, axiomatizability.
Mots-clés : endomorphism 
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O. E. Perminova. On nonaxiomatizability of critical lattices class. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 4, pp. 66-78. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_4_a6/

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