Search results for "Projective harmonic conjugate"

Correction to ?partial spreads in finite projective spaces and partial designs?

1976

Zur Hyperebenenalgebraisierung in desargues-Schen projektiven Verbandsgeometrien

1991

As a completion and extension of a result of A. Day and D. Pickering [5] we obtain the following structure theorem in the conceptual frame of projective lattice geometries: In a Desarguesian projective geometry the subgeometry of every at least one-dimensional hyperplane is module induced.

Projective spaces on partially ordered sets and Desargues' postulate

1991

We introduce a generalized concept of projective and Desarguean space where points (and lines) may be of different size. Every unitary module yields an example when we take the 1-and 2-generated submodules as points and lines. In this paper we develop a method of constructing a wide range of projective and Desarguean spaces by means of lattices.

Projective mappings between projective lattice geometries

1995

The concept of projective lattice geometry generalizes the classical synthetic concept of projective geometry, including projective geometry of modules.

A unified approach to projective lattice geometries

1992

The interest in pursuing projective geometry on modules has led to several lattice theoretic generalizations of the classical synthetic concept of projective geometry on vector spaces.