Bhatta, S. Parameshwara; Ramananda, H. S. Natural extension of a congruence of a lattice to its lattice of convex sublattices. (English) Zbl 1249.06007 Arch. Math., Brno 47, No. 2, 133-138 (2011). The paper describes the extension of a lattice congruence to a congruence on the lattice of convex sublattices. It is shown that the construction preserves representability and that it is compatible with the “convex sublattices” operator. Reviewer: David Kruml (Brno) MSC: 06B10 Lattice ideals, congruence relations Keywords:lattice of convex sublattices; congruence relation; representable congruence relation PDF BibTeX XML Cite \textit{S. P. Bhatta} and \textit{H. S. Ramananda}, Arch. Math., Brno 47, No. 2, 133--138 (2011; Zbl 1249.06007) Full Text: EuDML EMIS OpenURL