Modular incidence structures. (Modulare Inzidenzstrukturen.) (German) Zbl 0853.08001

Summary: Modular incidence structures are defined and are shown to be, as ordered sets, modular in the sense of J. Larmerová and J. Rachůnek [Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 91, Math. 27, 13-23 (1988; Zbl 0693.06003)]. Some fundamental properties of modular incidence structures are deduced and some examples of such structures are presented.


08A02 Relational systems, laws of composition
51A05 General theory of linear incidence geometry and projective geometries
06A06 Partial orders, general


Zbl 0693.06003
Full Text: EuDML


[1] Lenz H.: Vorlesungen über projektive Geometrie. Leipzig, 1965, S. 360. · Zbl 0134.16203
[2] Machala F.: Konstruktionen einiger endlicher modularer Inzidenzstrukturen. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 100 (1991), 235-253. · Zbl 0764.51011
[3] Rachůnek J., Larmerová J.: Translation of distributive and modular sets. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 91 (1988), 13-25. · Zbl 0693.06003
[4] Wille R.: Restructuring lattice theory: an approach based on hierarchies of concepts. I. Rival (ed.). Ordered sets. Riedel, Dordrecht-Boston, 1982, 445-470. · Zbl 0491.06008
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