Kolibiar, Milan; Lihová, Judita Modular and metric multilattices. (English) Zbl 0833.06011 Math. Slovaca 45, No. 1, 19-27 (1995). Summary: A metric multilattice, which is shown to be a generalization of Birkhoff’s metric lattice, is defined. A metric multilattice is modular, and a directed modular multilattice of locally finite length is metrizable. Cited in 3 Documents MSC: 06B99 Lattices 06A99 Ordered sets Keywords:metric multilattice; metric lattice; modular multilattice PDF BibTeX XML Cite \textit{M. Kolibiar} and \textit{J. Lihová}, Math. Slovaca 45, No. 1, 19--27 (1995; Zbl 0833.06011) Full Text: EuDML OpenURL References: [1] BENADO M.: Les ensembles partiellement ordonnés et le théorème de raffinement le Schreier II. Czechoslovak Math. J. 5(80) (1955), 308-344. · Zbl 0068.25902 [2] BIRKHOFF G.: Lattice Theory. (3rd edition), Amer. Math. Soc, Providence, R. I., 1967. · Zbl 0153.02501 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.