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On the Non-Simplicity of a Subring of M(G)

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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

The internal structure of the ring NQ(G) of all normal quasi-endomorphisms is investigated for different groups G.

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References

  1. Cannon, G. A. (1995) Centralizer near-rings determined by End G. In: Near-Rings and Near-Fields, Y. Fong et al. (eds.), Kluwer Academic Publishers, Dordrecht, pp. 89–111.

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  2. Hardy, G. H. and Wright, E. M. (1979) An Introduction to the Theory of Numbers, Clarendon Press, Oxford.

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  3. Myasnikov, A. G. (1992) Centroid of a group and its links with endomorphisms and rings of scalars, preprint.

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  4. Smith, K. C. (1995) Rings which are a homomorphic image of a centralizer near-ring. In: Near-Rings and Near-Fields, Y. Fong et al. (eds.), Kluwer Academic Publishers, Dordrecht, pp. 257–270.

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  5. Weinstein, M. (1977) Examples of Groups, Polygonal Publishing House, Passaic.

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© 1997 Kluwer Academic Publishers

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Speegle, A. (1997). On the Non-Simplicity of a Subring of M(G) . 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_33

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_33

  • 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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