nilpotent

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English[edit]

Etymology[edit]

Latin roots, nil(not any) +‎ potent(having power) – literally, “having zero power”.

Adjective[edit]

nilpotent ‎(not comparable)

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  1. (mathematics) Describing an element of a ring, for which there exists some positive integer n such that xn = 0.

Related terms[edit]

Translations[edit]

Noun[edit]

nilpotent ‎(plural nilpotents)

  1. (mathematics) A nilpotent element.
    • 2015, Garret Sobczyk, “Part I: Vector Analysis of Spinors”, in arXiv[1]:
      The so-called spinor algebra of C(2), the language of the quantum mechanics, is formulated in terms of the idempotents and nilpotents of the geometric algebra of space, including its beautiful representation on the Riemann sphere, and a new proof of the Heisenberg uncertainty principle.