References
Atiyah, M. F. and MacDonald, I. G., Introduction to Commutative Algebra, Addison Wesley, Reading, Mass., 1969.
Carter, D. S. and Vogt, A., ‘Collinearity-preserving Functions between Desarguesian Planes’, Mem. A.M.S. 27 (1980), No. 235. Providence, R.I., 1980.
Cohn, P. M., Free Rings and their Relations, Academic Press, London, New York, 1971.
Hughes, D. R., ‘On Homomorphisms of Projective Planes’, Proc. Symp. Appl. Math. 10 (1958), 45–52.
Jacobson, N., Structure of Rings, A.M.S. Coll. Publ., Vol. 37, Providence R.I., 1964.
Kallen, W., Van der, ‘Injective Stability for K2’, Lecture Notes in Math. 551, Springer-Verlag, Berlin, Heidelberg, New York, 1976, pp. 77–154.
Klingenberg, W., ‘Projective Geometrien mit Homomorphismus’, Math. Ann. 132 (1956), 180–200.
Veldkamp, F. D., ‘Projective Planes over Rings of Stable Rank 2’, Geom. Dedicata 11 (1981), 285–308.
Veldkamp, F. D., ‘Projective Ring Planes: Some Special Cases’, Rend. Sem. Mat. Bresia 7 (1984), 609–615.
Veldkamp, F. D., ‘Distant-Preserving Homomorphisms between Projective Ring Planes’, Preprint no. 336, Dept of Mathematics, Utrecht, 1984.
Veldkamp, F. D., ‘Incidence-Preserving Mappings between Projective Ring planes’, Preprint no. 338, Dept of Mathematics, Utrecht, 1984.
Author information
Authors and Affiliations
Additional information
Work on this paper was done while the first named author was visiting the University of Utrecht, on leave from The Ohio State University.
Rights and permissions
About this article
Cite this article
Ferrar, J.C., Veldkamp, F.D. Neighbor-preserving homomorphisms between projective ring planes. Geom Dedicata 18, 11–33 (1985). https://doi.org/10.1007/BF00221202
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00221202