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Displaying similar documents to “Intervals, convex sublattices and subdirect representations of lattices”

Convex isomorphism of Q -lattices

Petr Emanovský (1993)

Mathematica Bohemica

Similarity:

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.