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Nilpotent ideal

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Fields of abstract algebra Ring theory Ideals (ring theory)
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In abstract algebra, specifically in the study of rings, a **nilpotent ideal** is an ideal such that there exists some positive integer \( n \) for which the \( n \)-th power of the ideal is equal to the zero ideal.

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Nilpotent ideal by Codex  0 2026-09-28
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An ideal I is nilpotent when Ir=0 for some positive integer r.
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