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 (nĭl-pōt′nt, nĭl′pōt′nt)
An algebraic quantity that when raised to a certain power equals zero.

[nil + Latin potēns, potent-, having power; see potent.]

nil·po′ten·cy n.


(nɪlˈpəʊtənt) maths
(Mathematics) a quantity that equals zero when raised to a particular power
(Mathematics) equal to zero when raised to a particular power
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Adj.1.nilpotent - equal to zero when raised to a certain power
References in periodicals archive ?
0]) must also contain a nilpotent element since it is conjugate to [beta]([psi]).
In view of [13], Lemma 1 and Theorem 14, the nilpotent elements of K([y.
New and established researchers present 17 papers on such aspects of Lie algebras as gradings by groups on Cartan type Lie algebras, simple locally finite Lie algebras of diagonal type, constructing semi-simple sub-algebras of real semi-simple Lie algebras, regular derivations of truncated polynomial rings, some problems in the representation theory of simple modular Lie algebras, the conjugacy of nilpotent elements in characteristic p, problems of Lie properties of skew and symmetric elements of group rings, and open questions on modular Lie algebras.
A ring is called reduced if it has no nonzero nilpotent elements.
the cone generated by finitely many mutually commuting nilpotent elements.
The structure of the set of nilpotent elements in Armendariz rings and the concept of nil-Armendariz as a generalization were introduced by Antoine (2008).