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Book Review
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Book Information
Author(s):
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:
- 1.
- G. Betsch, Primitive near-rings, Math. Z. 130 (1973), 351-361. MR 325706
- 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
Additional Information:
Reviewer(s):
Günter F.
Pilz
Review Information:
Journal:
Bull. Amer. Math. Soc.
17
(1987),
156-160.
DOI:
10.1090/S0273-0979-1987-15549-2
PII:
S 0273-0979(1987)15549-2
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