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Projective homomorphisms and von Staudt's theorem

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References

  1. André, J.: ‘Über Homomorphismen Projektiver Ebenen’. Abh. Math. Sem. Univ. Hamb. 34 (1969), 98–114.

    Google Scholar 

  2. Artin, E.: Geometric Algebra. Interscience, New York, 1957.

    Google Scholar 

  3. Bartoline, C. and Di Franco, F.: ‘A Remark on the Projectivities of the Projective Line over a Commutative Ring’. Math. Z. 169 (1979), 23–29.

    Google Scholar 

  4. Carter, D. S. and Vogt, A.: ‘Collinearity Preserving Functions Between Desarguesian Planes’. Memoirs Amer. Math. Soc. 235 (1980).

  5. Dress, A.: ‘Metrische Ebenen und projektive Homomorphismen’. Math. Z. 85 (1964), 116–140.

    Google Scholar 

  6. Klingenberg, W.: ‘Projektive Geometrien mit Homomorphismen’. Math. Ann. 132 (1956), 180–200.

    Google Scholar 

  7. Limaye, B. V. and Limaye, N. B.: ‘The Fundamental Theorem for the Projective Line over Commutative Rings’. Aequationes Math. 16 (1977), 275–281.

    Google Scholar 

  8. McDonald, B. R.: ‘Projectivities over Rings with Many Units’. Comm. Algebra 9 (1981), 195–204.

    Google Scholar 

  9. Radó, F.: ‘Darstellung Nicht-injektiver Kollineationen eines Projektiven Raumes durch Verallgemeinerte Semilineare Abbildungen’. Math. Z. 100 (1969), 153–170.

    Google Scholar 

  10. Radó, F.: ‘Non-injective Collineations on Some Sets in Desarguesian Projective Planes and Extensions of Non-commutative Valuations’. Aequationes Math. 4 (1970), 307–321.

    Google Scholar 

  11. Schaeffer, H., ‘Das von Staudtsche Theorem in der Geometrie der Algebren’. J. Reine Angew. Math. 267 (1974), 133–142.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, 16802, University Park, Pa., USA

    Donald G. James

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  1. Donald G. James
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Additional information

This research was partially supported by the National Science Foundation.

After this paper was accepted for publication it was discovered that the results proved here have already been published in another article, viz. F. Beukenhout, ‘Une généralisation du théorème de von Staudt-Hua’. Bull. cl. Sc. Acad. Roy. Belg. 51 (1965), 446–457.

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James, D.G. Projective homomorphisms and von Staudt's theorem. Geom Dedicata 13, 291–294 (1982). https://doi.org/10.1007/BF00148234

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