On left duo near-rings (Q1071853)

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scientific article; zbMATH DE number 3939541
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English
On left duo near-rings
scientific article; zbMATH DE number 3939541

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    On left duo near-rings (English)
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    1986
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    The authors consider right near-rings in which every left ideal is an ideal, and extend results due to Choudhary in his thesis. There are a number of results about 2-primitive near-rings and regular left duo near-rings. The main result states that a near-ring \(N\) is strongly regular if and only if every \(N\)-subgroup is the intersection of all maximal ideals containing it.
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    right near-rings
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    2-primitive near-rings
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    regular left duo near-rings
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    strongly regular
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    maximal ideals
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