A note on projective coordinate systems of modular lattices

Journal of Geometry - Tập 46 - Trang 174-176 - 1993
Stefan E. Schmidt1
1Fachbereich Mathematik, der Johannes Gutenberg-Universität, Mainz

Tóm tắt

This note clarifies the combinatorial nature of projective coordinate systems of modular upper continuous lattices. It generalizes the classical relationship between 3-dimensional Desarguesian configurations and coordinate systems of projective 3-spaces.

Tài liệu tham khảo

B. Artmann, On Coordinates in Modular Lattices with a Homogeneous Basis. Illinois J. Math. 12 (1968) pp. 626–648. P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices. Prentice-Hall, New Jersey (1973). J. von Neumann, Continuous Geometry. (Princeton, New Jersey) Princeton Univertity Press (1960).