Abstract
Weak affine spaces have been introduced in [6] and [7] by E. SPERNER. They can be algebraically described by quasimodules. in [8] E. SPERNER constructed quasimodules by nearfields. In [9] and [10] he used more general algebraic structures for this construction and in [5] the author described a generalisation of this method. In this note we give a geometric and algebraic characterization of those weak affine spaces which can be constructed in this way.
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