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Jordan homomorphisms, chain geometries and the fundamental theorem

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  1. [1]

    R. Baer,Linear Algebra and Projective Geometry. Academic Press, 1952.

  2. [2]

    C. G. Bartolone and F. Bartolozzi,Topics in geometric Algebra over rings in “Rings and Geometry”, R. Kaya et al. (eds.), 353–389, Reidel Pub. Co. 1985.

  3. [3]

    H. Bass,Algebraic K-theory. Benjamin, 1968.

  4. [4]

    W. Benz,Vorlesungen über Geometrie der Algebren. Springer-Verlag, 1973.

  5. [5]

    I. N. Herstein,Jordan homomorphisms. Trans. Amer. Math. Soc.81 (1956), 331–351.

  6. [6]

    H. Herzer,On isomorphisms of chain geometries. (To appear in Note di Matematica).

  7. [7]

    L. K. Hua,On the automorphisms of a s-field. Proc. Nat. Acad. Sci. USA35 (1949), 386–389.

  8. [8]

    B. V. Limaye andN. B. Limaye,Fundamental theorem for the projective line over non-commutative local rings. Arch. Math.28 (1977), 102–109.

  9. [9]

    F. D. Veldkamp,Projective ring planes and their homomorphisms, in “Rings and Geometry”, R. Kaya et al. (eds.), 289–350, Reidel Pub. Co. 1985.

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Author information

Correspondence to Karl Strambach or C. G. Bartolone.

Additional information

This research was supported by M.P.I. (R.S. 40%).

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Strambach, K., Bartolone, C.G. Jordan homomorphisms, chain geometries and the fundamental theorem. Abh.Math.Semin.Univ.Hambg. 59, 93–99 (1989). https://doi.org/10.1007/BF02942320

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  • Local Ring
  • Fundamental Theorem
  • Division Algebra
  • Jordan Algebra
  • Projective Geometry