nilpotent

Fetched 2026-10-26 (cache).

Synonyms: impotent, unipotent, nilpotence, nilpotency

Antonyms: impotent, unipotent, nilpotence, nilpotency

Related words from Datamuse; suggestions, not definitions.

Adjective

1. {{lb|en|mathematics|algebra|ring theory|of an [[element]] ''x'' of a [[ring]]}} Such that, for some positive integer ''n'', ''xⁿ'' = 0.
2. {{lb|en|mathematics|algebra}} ''In 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.

Noun

1. {{lb|en|algebra}} A '''nilpotent''' element.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.