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On weakly semiprime ideals of commutative rings - MaRDI portal

On weakly semiprime ideals of commutative rings (Q304543)

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scientific article; zbMATH DE number 6619590
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On weakly semiprime ideals of commutative rings
scientific article; zbMATH DE number 6619590

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    On weakly semiprime ideals of commutative rings (English)
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    25 August 2016
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    The author introduces and investigates some properties of weakly semiprime ideals of a commutative unital ring \(R\), defined as follows: a proper ideal \(I\) of \(R\) is called \textit{weakly semiprime} if whenever \(a\in R\) and \(0\neq a^2\in I\) then \(a\in I\).
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    prime ideal
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    semiprime ideal
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    weakly prime ideal
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    weakly semiprime ideal
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