Richter, Gerd Some remarks on modularity in prealgebraic and algebraic lattices. (English) Zbl 0764.06004 Beitr. Algebra Geom. 32, 135-140 (1991). Summary: It is proved that every \(KI^*\)-lattice is modular. Further we shall give examples of an algebraic semimodular and lower semimodular lattice and of an atomistic \(QI\)-lattice which are not modular. MSC: 06C05 Modular lattices, Desarguesian lattices 06C10 Semimodular lattices, geometric lattices Keywords:modular lattice; prealgebraic lattice; algebraic lattice; \(KI^*\)- lattice; atomistic \(QI\)-lattice; semimodular lattice PDFBibTeX XMLCite \textit{G. Richter}, Beitr. Algebra Geom. 32, 135--140 (1991; Zbl 0764.06004) Full Text: EuDML