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 ?
As in the previous section, we denote the nilradical by [square root of 0] and we denote the inclusion map of [mu] to A by [[iota].
Using (H3), we can show that u is the nilradical of the parabolic subalgebra [p.
It follows from hypothesis (H3) in the introduction that u is the nilradical of the parabolic subalgebra [p.
B-stable ideals in the nilradical of a Borel subalgebra.
The set of all nilpotent elements of R is called nilradical of R and it is denoted by Nil (R).
Sommers, B-stable ideals in the nilradical of a Borel subalgebra, Canad.