A note on projective coordinate systems of modular lattices
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).