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A remark on completely reducible near-rings

Published online by Cambridge University Press:  17 April 2009

Stefania De Stefano  and
Simonetta Di Sieno
Stefania De Stefano
Affiliation:
Dipartimento di Matematica dell'Università di Milano, Via Saldini, 50, 1–20133 Milano MI, Italy.
Simonetta Di Sieno
Affiliation:
Dipartimento di Matematica dell'Università di Milano, Via Saldini, 50, 1–20133 Milano MI, Italy.
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Abstract

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A characterization of the completely reducible (zerosymmetric right) near-rings which are the direct sum of their socle of type 2 and of their 2-radical is given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 1 , February 1985 , pp. 35 - 40
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Stefania De, Stefano and Simonetta Di, Sieno, “On the type ν socles of a near-ring”, Arch. Math. (Basel) 42 (1984), 40–44.CrossRefGoogle Scholar
[2]Stefania De, Stefano and Simonetta Di, Sieno, “Quasi-anelli distributivi completamente riducibili”, Rend. Istit. Lomb. Acc. Sci. Lett. Cl. Sci. Ser. A (to appear).Google Scholar
[3]Jones, P. Lanusse, “Distributive near-rings” (Thesis, University of Southwestern Louisiana, Louisiana, 1976).Google Scholar
[4]Oswald, A., “Completely reducible near-rings”, Proc. Edinburgh Math. Soc. 20 (1976–1977), 187–197.CrossRefGoogle Scholar
[5]Pilz, O., Near-rings (North–Holland, Amsterdam, 1983).Google Scholar