Definiciones
1.AdjectiveSuch that, for some positive integer n, x = 0."If a square matrix is upper triangular and has zeros on the diagonal, then it is nilpotent (under the usual matrix multiplication)."
2.AdjectiveIn any of several technical senses: behaving analogously to nilpotent ring elements as an element of some other algebraic structure; composed of elements displaying such behavior.
Belonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
Such that the lower central series terminates.
Admitting a central series of finite length.
Such that there exists a natural number k with I = 0.
Containing only nilpotent elements.
Such that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
3.AdjectiveBelonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
4.AdjectiveSuch that the lower central series terminates.
5.AdjectiveAdmitting a central series of finite length.
6.AdjectiveSuch that there exists a natural number k with I = 0.
7.AdjectiveContaining only nilpotent elements.
8.AdjectiveSuch that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
9.NounA nilpotent element.