Nil ideal

id: nil-ideal-181-11251862
title: Nil ideal
text: In mathematics, more specifically ring theory, a left, right or two-sided ideal of a ring is said to be a nil ideal if each of its elements is nilpotent. The nilradical of a commutative ring is an example of a nil ideal; in fact, it is the ideal of the ring maximal with respect to the property of being nil. Unfortunately the set of nilpotent elements does not always form an ideal for noncommutative rings. Nil ideals are still associated with interesting open questions, especially the unsolved Kö
brand slug: wiki
category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Nil_ideal
date created: 2005-11-07T09:16:54Z
date modified: 2024-09-06T01:26:21Z
main entity: {"identifier":"Q453275","url":"https://www.wikidata.org/entity/Q453275"}
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fields total: 13
integrity: 14

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