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A Note on Pseudo-Distributivity in Group Near-Rings

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Abstract

It is shown that the group near-ring constructed from a pseudo-distributive near-ring and an arbitrary group is a ring.

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References

  1. Heatherly, H. E. and Ligh, S., Pseudo-distributive near-rings, Bull. Austral. Math. Soc. 52 (1975), 449–456.

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  2. Le Riche, L.R., Meldrum, J.D.P. and van der Walt, A.P.J., On group near-rings, Arch. Math. 52 (1989), 132–139.

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  3. Meldrum, J.D.P., Near-rings and their links with groups, Res. notes in Math. 134 (1985), Pitman.

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© 2001 Springer Science+Business Media Dordrecht

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Fray, R.L. (2001). A Note on Pseudo-Distributivity in Group Near-Rings. In: Fong, Y., Maxson, C., Meldrum, J., Pilz, G., van der Walt, A., van Wyk, L. (eds) Near-Rings and Near-Fields. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0954-6_8

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  • DOI: https://doi.org/10.1007/978-94-010-0954-6_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3802-7

  • Online ISBN: 978-94-010-0954-6

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