CONVEX SUBLATTICES AND POWER LATTICE

Aiping Li · Journal of Mathematics · 2010

In this article, we study characterizations of power lattice on distributive lattices. By applying the concept of relative convex sublattices of lattice, we establish the relation between power lattice on distributive lattices and convex sublattices. As an application, a sufficient and necessary condition of power lattice on distributive lattices is obtained.

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