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- In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring. In the non-commutative ring case the same definition does not always work. This has resulted in several radicals generalizing the commutative case in distinct ways. See the article "radical of a ring" for more of this. The nilradical of a Lie algebra is similarly defined for Lie algebras.
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"nilradical of a ring." Anagrams.net. STANDS4 LLC, 2024. Web. 21 Dec. 2024. <https://www.anagrams.net/nilradical%20of%20a%20ring>.
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