The f-prime radical in near-rings (Q1073158)

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scientific article; zbMATH DE number 3944081
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English
The f-prime radical in near-rings
scientific article; zbMATH DE number 3944081

    Statements

    The f-prime radical in near-rings (English)
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    1986
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    The f-prime radical of a near-ring N is characterized in terms of f- strongly nilpotent elements (f a suitable function from N to the set of the ideals of N [see \textit{K. Murata}, \textit{Y. Kurata}, \textit{H. Marubayashi}, Osaka J. Math. 6, 291-301 (1969; Zbl 0216.339)]). Elementary connections between prime and f-prime ideals are given.
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    f-prime radical
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    near-ring
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    f-strongly nilpotent elements
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    f-prime ideals
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