nilpotent

Speech parts

1. nilpotent - Noun

2. nilpotent - Adjective

Meaning

equal to zero when raised to a certain power

Source: WordNet

Synonyms

strong brawny hard male powerful figure impressive robust digit energetic stiff vigorous potent mighty forceful
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Phrases with the word

nilpotent commutative semigroup

Examples

A 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

Close letter words and terms

Nilphamari District nilpotence nilpotency nilpotent commutative semigroup nilpotently nilprogression