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R-ENDOMORPHISMS FIXING ESSENTIAL IDEALS IN NEAR-RINGS

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Abstract

We give some conditions under which an R-endomorphism f fixing an essential ideal I of a right near-ring R must be the identity R-automorphism on RR. As a consequence of the results obtained we generalize the theorem of [1].

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  1. DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, CAIRO UNIVERSITY, GIZA, EGYPT

    A. A. M. Kamal

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  1. A. A. M. Kamal
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Kamal, A.A.M. R-ENDOMORPHISMS FIXING ESSENTIAL IDEALS IN NEAR-RINGS. Acta Mathematica Hungarica 90, 209–217 (2001). https://doi.org/10.1023/A:1006702528187

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  • DOI: https://doi.org/10.1023/A:1006702528187

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