Geodesic
A note on convex sublattices of lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 7-9

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Let $CSub\,(\text{\bf K})$ denote the variety of lattices generated by convex sublattices of lattices in $\text{\bf K}$. For any proper variety $\text{\bf V}$, the variety $CSub\,(\text{\bf V})$ is proper. There are uncountably many varieties $\text{\bf V}$ with $CSub\,(\text{\bf V})=\text{\bf V}$.
Classification : 06B20, 06B25
Keywords: lattice; convex sublattice; variety 
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Slavík, Václav. A note on convex sublattices of lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 7-9. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a1/