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A Note on Simple Composition Rings

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Nearrings, Nearfields and K-Loops

Part of the book series: Mathematics and Its Applications ((MAIA,volume 426))

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Abstract

In the present note we characterize finite, simple, zero-symmetric composition rings (K, +, ·, ∘) with an identity with respect to o and K · K ≠ {0}.

Supported by a “Doktorandenstipendium” of the Austrian Academy of Sciences.

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References

  1. E. Aichinger. Local interpolation near-rings as a frame-work for the density theorems. In: Contributions to General Algebra 9, pp. 27–36. Hölder-Pichler-Tempsky, Wien — B.G. Teubner, Stuttgart, 1995.

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  2. G. Betsch. Some structure theorems on 2–primitive near-rings. In: Coll. Math. Soc. János Bolyai 6, pp. 73–102. North-Holland, Amsterdam, 1973.

    Google Scholar 

  3. D. Gorenstein. Finite groups. Chelsea Publishing Company, New York, 2nd ed., 1980.

    MATH  Google Scholar 

  4. R. Mlitz. On interpolation properties appearing in generalisations of Jacobson’s density theorem. In: S. Kyuno (ed.) Radical Theory, Proceedings of the 1988 Sendai Conference, pp. 111–121. Uchida Rokakuho Publ. Comp., Tokyo, 1989.

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  5. C. J. Maxson, M. R. Pettet and K. C. Smith. On semisimple rings that are centralizer near-rings. Pacific J. Math. 101 (1981), 451–461.

    MathSciNet  Google Scholar 

  6. C. J. Maxson and A. P. J. van der Walt. Centralizer near-rings over free ring modules. J. Austral. Math. Soc. (Series A) 50 (1991), 279–296.

    Article  MATH  Google Scholar 

  7. G. F. Pilz. Near-rings. North-Holland, Amsterdam, 2nd ed., 1983.

    MATH  Google Scholar 

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© 1997 Kluwer Academic Publishers

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Aichinger, E. (1997). A Note on Simple Composition Rings. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_7

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7163-5

  • Online ISBN: 978-94-009-1481-0

  • eBook Packages: Springer Book Archive

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