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Definition of Nilpotent
1. Adjective. Equal to zero when raised to a certain power.
Definition of Nilpotent
1. Adjective. (mathematics) Describing an element, of a ring, for which there exists some positive integer n such that xn = 0. ¹
¹ Source: wiktionary.com
Definition of Nilpotent
1. [n -S]
Lexicographical Neighbors of Nilpotent
Literary usage of Nilpotent
Below you will find example usage of this term as found in modern and/or classical literature:
1. Sophus Lie's 1880 transformation group paper by Sophus Lie, Robert Hermann (1975)
"nilpotent LIE ALGEBRAS AND THE ENGEL THEOREM Let V be a vector space, and a: V
+ Va linear transformation. a is said to be nilpotent if: an = 0 for n ..."
2. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by L. R. Hunt, Clyde Martin (1984)
"In [1] it is shown that the system (1) can be transformed into a system of similar
form having nilpotent representation and the same trajectories, ie, ..."
3. Proceedings of the London Mathematical Society by London Mathematical Society (1908)
"This shows that the definition of a nilpotent algebra which was given in § 4 ...
If x is nilpotent, then Ax < A. The following extension of a theorem due to ..."
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