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On the additive groups of finite near integral domains and simple d. g. near rings

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References

  1. Blackett, D. W.: Simple and semi-simple near rings. Proc. Amer. Math. Soc.4, 772–785 (1953).

    Google Scholar 

  2. Clay, J. R.: Generating balanced incomplete block design from planar near rings (to appear).

  3. Clay, J. R.: The near rings on groups of low order. Math. Z.104, 364–371 (1968).

    Google Scholar 

  4. Fröhlich, A.: The near ring generated by the inner automorphisms of a finite simple group. J. London Math. Soc.33, 95–107 (1958).

    Google Scholar 

  5. Laxton, R. R.: Primitive distributively generated near rings. Mathematika8, 143–158 (1961).

    Google Scholar 

  6. Ligh, S.: On boolean near rings. Bull. Austral. Math. Soc.1, 375–379 (1969).

    Google Scholar 

  7. Ligh, S.: Near rings with identities on certain groups. Monatsh. Math.75, 38–43 (1971).

    Google Scholar 

  8. Ligh, S.: D. G. near rings on certain groups. Monatsh. Math.75, 244–249 (1971).

    Google Scholar 

  9. Ligh, S., andJ. J. Malone: Zero divisors and finite near rings. J. Austral. Math. Soc.11, 374–378 (1970).

    Google Scholar 

  10. Malone, J. J.: Near rings with trivial multiplications. Amer. Math. Monthly74, 1111–1112 (1967).

    Google Scholar 

  11. Neumann, B. H.: On the commutativity of addition. J. London Math. Soc.15, 203–208 (1940).

    Google Scholar 

  12. Thompson, J.: Finite groups with fixed-point-free automorphisms of prime order. Proc. Nat. Acad. Sci., USA45, 578–581 (1959).

    Google Scholar 

  13. Zassenhaus, H.: Über endliche Fastkörper. Abh. Math. Sem. Univ. Hamburg11, 187–220 (1936).

    Google Scholar 

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  1. Steve Ligh

    Present address: Mathematics Department, University of Southwestern Louisiana, 70501, Lafayette, LA, USA

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    1. Steve Ligh
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    Ligh, S. On the additive groups of finite near integral domains and simple d. g. near rings. Monatshefte für Mathematik 76, 317–322 (1972). https://doi.org/10.1007/BF01297364

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