Coordinatization of affine and projective space |
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Authors: | Mary Katherine Bennett |
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Institution: | Department of Mathematics and Statistics, University of Massachusetts, Amherst, Mass., USA |
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Abstract: | In this paper, the author gives an elementary proof of the theorem that each Desarguesian affine space is a vector space over a division ring and each Desarguesian projective space is the subspaces of a vector space over a division ring and conversely. A geometric characterization of the characteristic of a division ring is also given. |
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