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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: J. D. P. Meldrum
Title: Near-rings and their links with groups
Additional book information: Pitman Publishing, Boston, London, Melbourne, 275 pp., $44.95. ISBN 0-470-20648-9.

References [Enhancements On Off] (What's this?)

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  • 2. G. Betsch, (ed. ), Near-rings and near-fields, North-Holland, Amsterdam, 1987. MR 890754
  • 3. N. Blackburn and B. Huppert, Finite groups. III, Springer, Berlin-Heidelberg-New York, 1982. MR 662826
  • 4. D. W. Blackett, Simple and semi-simple near-rings, doctoral dissertation, Princeton University, 1950.
  • 5. P. Dembrowski, Finite geometries, Springer, Berlin, 1968. MR 233275
  • 6. L. E. Dickson, Definitions of a group and a field by independent postulates, Trans. Amer. Math. Soc. 6 (1905), 198-204. MR 1500706
  • 7. A. Fröhlich, Non-abelian homological algebra. I, Derived functors and satellites, Proc. London Math. Soc. 11 (1961), 239-275. MR 143794
  • 8. M. Hall, The theory of groups, McMillan, New York, 1959. MR 103215
  • 9. N. Jacobson, Structure of rings, Amer. Math. Soc. Colloq. Publ., vol. 37, Providence, R. I., 1968. MR 44505
  • 10. H. Karzel, Bericht über projektive Inzidenzgruppen, Jahresber. Dt. Math. Ver. 67 (1965), 58-92. MR 175014
  • 11. W. E. Kerby, On infinite sharply multiply transitive groups, Vandenhoeck and Ruprecht, Göttingen, 1974. MR 384938
  • 12. B. H. Neumann, On the commutativity of addition, J. London Math. Soc. 15 (1940), 203-208. MR 2851
  • 13. G. Pilz, Near-rings, North-Holland, Amsterdam, second edition, 1983. MR 721171
  • 14. G. Pilz, What near-rings can do for you, Contrib. to General Algebra 4, Teubner, Stuttgart, 1987. MR 930907
  • 15. O. Veblen and J. H. Wedderburn, Non-desarguesian and non-pascalian geometries, Trans. Amer. Math. Soc. 8 (1907), 379-388. MR 1500792
  • 16. H. Wähling, Theorie der Fastkörper, Thales Verlag, Essen, 1987. MR 956467
  • 17. H. Wielandt, Über Bereiche aus Gruppenabbildungen, Deutsche Mathematik 3 (1938), 9-10.
  • 18. H. Zassenhaus, Über endliche Fastkörper, Abh. Math. Sem. Univ. Hamburg 11 (1935/36), 187-220.
  • 19. J. L. Zemmer, The additive group of an infinite near-field is abelian, J. London Math. Soc. 44 (1969), 65-67. MR 231902

Review Information:

Reviewer: Günter F. Pilz
Journal: Bull. Amer. Math. Soc. 17 (1987), 156-160
DOI: https://doi.org/10.1090/S0273-0979-1987-15549-2
American Mathematical Society