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Subspace operations in affine Klingenberg spaces. (English) Zbl 0818.51001
This paper deals with the operations of join, intersection and parallelism on the free subspaces of an affine Klingenberg space $$A$$. Necessary and sufficient conditions under which the join of two free subspace is free are determined and in such a case the dimension formula is verified.

##### MSC:
 51C05 Ring geometry (Hjelmslev, Barbilian, etc.) 51D10 Abstract geometries with exchange axiom 51D15 Abstract geometries with parallelism
##### Keywords:
free subspace; parallelism; affine Klingenberg space
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