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Anshel-Clay Near-Rings and Semiaffine Parallelogramspaces

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Near-Rings and Near-Fields

Part of the book series: Mathematics and Its Applications ((MAIA,volume 336))

Abstract

One of the best known theorems in commutative geometry is: From each vectorspace over a skewfield of dimension not less then three arises an affine space, and to each affine space of geometric dimension not less than three, there is a skewfield F and a vectorspace coordinatisating it.

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Ā© 1995 Springer Science+Business Media Dordrecht

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Ney, H.H. (1995). Anshel-Clay Near-Rings and Semiaffine Parallelogramspaces. In: Fong, Y., Bell, H.E., Ke, WF., Mason, G., Pilz, G. (eds) Near-Rings and Near-Fields. Mathematics and Its Applications, vol 336. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0359-6_22

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  • DOI: https://doi.org/10.1007/978-94-011-0359-6_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4160-7

  • Online ISBN: 978-94-011-0359-6

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