nilpotent
IPA: nˈɪɫpʌtʌnt
noun
- (algebra) A nilpotent element.
adjective
- (algebra, ring theory, of an element x of a semigroup or ring) Such that, for some positive integer n, xⁿ = 0.
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Examples of "nilpotent" in Sentences
- It is a non abelian nilpotent group.
- The trace of a nilpotent matrix is zero.
- Dual numbers have a base with nilpotent .
- Dicylic groups are in general not nilpotent.
- Number on nilpotent loops up to isomorphism.
- A nilsquare or nilpotent infinitesimal can then be defined.
- In these cases elements are either nilpotent or invertible.
- Despite its name, the nilpotent minimum is not a nilpotent t norm.
- Thus, a linear map is nilpotent iff it has a nilpotent matrix in some basis.
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