Intervals, convex sublattices and subdirect representations of lattices

M. Kolibiar

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Convex isomorphism of $Q$ -lattices

Petr Emanovský (1993)

Mathematica Bohemica

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V. I. Marmazejev introduced in [3] the following concept: two lattices are convex isomorphic if their lattices of all convex sublattices are isomorphic. He also gave a necessary and sufficient condition under which the lattice are convex isomorphic, in particular for modular, distributive and complemented lattices. The aim this paper is to generalize this concept to the $q$ -lattices defined in [2] and to characterize the convex isomorphic $q$ -lattices.