Hyperaffine planes over hyperrings
The author gives the definition of hyperring and multiplicative hyperring. Moreover, the notions of hyperaffine plane, affine map, translation and homothety are given. The author proves that -- associated with a hyperring -- a hyperaffine plane has all homotheties centered in 0, and similarly -- associated with a multiplicative hyperring -- a hyperaffine plane is a translation plane.
scientific article; zbMATH DE number 932541
scientific article