Geoodular axiomatics of affine spaces


Any flat geoodular space can be treated as an affine space and vice versa.A purely algebraic proof of the fact is presented here. It gives us a new axiomatics of affine spaces. Moreover, such an approach permits us to consider affine spaces over arbitrary rings and to regard an affine space as a universal algebra.

DOI Code: 10.1285/i15900932v14n1p109

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