Non-Arguesian configurations and gluings of modular lattices

In two earlier papers, we investigated non-Arguesian projectivity configurations, d=(d_ij:I,j 5), in a modular latticeL, and the associated intervalsI =u /z , 5. Here we study the relationship of d to representations of L as a gluing of proper intervals. We are primarily concerned with two extreme cases:L=J F withJ an ideal andF a filter; and, whenL is of finite length,L=U {L(x):x S(L)} with S(L), the prime skeleton ofL and eachL(x), a maximal complemented subinterval ofL.Presented by Ralph Freese.Research supported by NSERC Operating Grant A-8190 and the University of Hawaii.Research supported by NSF Grant DMS-8300107.