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On left strong radicals of near-rings

Published online by Cambridge University Press:  13 July 2011

T. Anderson ,
K. Kaarli  and
R. Wiegandt
T. Anderson
Affiliation:
10072, 276 StreetWhonnock, B.C., V0M 1SO, Canada
K. Kaarli
Affiliation:
Department of Algebra and GeometryTartu State UniversityTartu, Estonia, Soviet Union
R. Wiegandt
Affiliation:
Mathematical InstituteHungarian Academy of SciencesP.O. Box 127H-1364 Budapest
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In this paper we shall deal with radicals γ of near-rings such that for every near-ring N its radical γ(N) contains all left ideals (left invariant subgroups, respectively) I of N with I∈γ. At first, examples of such radicals will be given. Then we shall prove that these radicals are hypersolvable and have hereditary semisimple classes.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 447 - 456
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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