nilradical

nilradical

[‚nil′rad·ə·kəl]
(mathematics)
For an ideal, I, in a ring, R, the set of all elements, a, in R for which an is a member of I for some positive integer n. Also known as radical.
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References in periodicals archive ?
B-stable ideals in the nilradical of a Borel subalgebra.
Sommers, B-stable ideals in the nilradical of a Borel subalgebra, Canad.