1. nilpotent - Noun
2. nilpotent - Adjective
equal to zero when raised to a certain power
Source: WordNetA nilpotent element in a nonzero ring is necessarily a zero divisor. Source: Internet
A Lie algebra is nilpotent if the lower central series : becomes zero eventually. Source: Internet
Commutators are used to define nilpotent and solvable groups. Source: Internet
In fact for any ring, the nilpotent elements in the center of the ring are also in the Jacobson radical.sfn So, for commutative rings, the nilradical is contained in the Jacobson radical. Source: Internet
Linear Associative Algebra (1881) American Journal of Mathematics 4(1):221 6 Most significantly, they identified the nilpotent and the idempotent elements as useful hypercomplex numbers for classifications. Source: Internet
Hence, ũ can directly be identified with the nilpotent element of the basis of the dual numbers. Source: Internet