Nilradical of a ring

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.

单词	Nilradical of a ring
释义	Nilradical of a ring 英语百科 Nilradical of a ring 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.
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